Completing the Square "Completing the square" is another method of solving quadratic equations. Worked example: completing the square (leading coefficient ≠ 1) Solve quadratic equations of the form x^2+bx+c by completing the square. The key step in this method is to find the constant “” that will allow us to express Read more Solving Quadratic Equations by Completing the Square. 5: Steps for Completing the Square The idea behind completing the square is to change an equation of the form ax2 + bx+ x = 0 into an equation of the form (Ax+ B)2 = 0: The reason for doing this is because we equations in the second form can be solved using a method we already know, namely, by using the square root property. See it? If the squared terms have different coefficients, the graph won't be a circle. 2 + 6x = 16 x. com Overview: We all know that a light, such as a candle or a streetlight, looks dimmer the farther away from it we get. Practice your math skills and learn step by step with our math solver. Improve your math knowledge with free questions in "Complete the square" and thousands of other math skills. Round to the nearest hundredth if necessary. Completing the square is one of the most confusing things you'll be asked to do in an Algebra class. The square root of a negative number is always an imaginary number, so we would be to use variable i to simplify the problem further. x2 − 4x Solve each equation by completing the square. If c is negative, then x has two imaginary answers. Part of 1,001 Pre-Calculus Practice Problems For Dummies Cheat Sheet. Reducing radicals, or imperfect square roots, can be an intimidating prospect. After working with students on the Guided Notes to Complete the Square, I assign an Independent Practice. For More Practice Go To: Solve each equation by completing the square. completing the square, which involves making a. To solve an equation of the form. Most problems a = 1 but there are some in which a is not 1. 2x 2 - x - 4 = 0. SOLUTION x2 + 10x º 3 = 0 Write original equation. You should only find the roots of a quadratic using this technique when you're specifically asked to do so, because factoring a quadratic and using the quadratic …. Because the quadratic equation involves only one unknown, it is called "univariate". Factor the perfect square trinomial on the left side of the equation. we can't use the square root initially since we do not have c-value. I copy the chart front and back to provide enough space to work the five problems from the Independent Practice. Obiectives To solve equations by completing the square To rewrite functions by completing the square 4-6 Completing the Square. square root property completing the square Genius Method This new function is :if then y must equal a. First thing you want to do is rewrite the trinomial in the form. Grab your square rotary ruler and cutter. x 2 + 6x + 2 = 0. You can use algebra tiles to model a perfect square trinomial as a perfect square. 5 Determine and interpret maximum or minimum values for quadratic equations. com Jean Adams Complete the square to find standard form of the conic section. Be sure that your equation is in standard form (ax 2 +bx+c=0) before you start your factoring attempt. $\begingroup$ Completing the square took place in the second line. Phase one of the project will complete the RACE itself as well as two practice fields for football, with a covered canopy and enhancements to UTSA’s Park West athletics campus slated for. How would I distribute the 3x to each side when I'm completing the square? You know, x^2 = Big Square, and x= Rectangle. Chi-Square Goodness of Fit Test When an analyst attempts to fit a statistical model to observed data, he or she may wonder how well the model actually reflects the data. S p wMIa odve l nw Si pt lhw nImnvfBiOnji it ReY yApl agoe tb DrBaI G1D. Mathematics (Linear) – 1MA0 Completing the Square Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. (b) This lesson uses an area model of multiplication and algebra tiles to develop the concept of completing the square for quadratic expressions. Zork Genetics Heredity Practice #1 Answer Key On planet A273 Quiddlers are a popular type of pet bird. With practice,. 0Solve quadratic equations of the form ax bx c2 + += by completing the square. Completing the Square TEKS Aligned: A8AThis is a fun activity for the student to practice completing the square. 2 x 2 6 42 2. (x + 8)2 (x - 21) 1 2 2 x §· ¨¸ ©¹ 1 2 4 x §· ¨¸ x2 + 16x + 64 2. Sew two squares together as explained on the previous pages. This makes it possible to solve by using square roots. Outsourcing is a practice used by different companies to reduce costs by transferring portions of work to outside suppliers rather than completing it internally. Your complete guide to conditions, symptoms and treatments, including what to do and when to get help. 0 Since it cannot be factored using integers, Write the equation in the form ax2 bx c 8 10 8 10 2 2 x x x Find 2 1 of b and add the square of that n umber )2 2 (b to both sides of the equation Think b 8 4 2 1 b and 42 16 10 8 16 10 16 8 2 2 x x x The left side is now a perfect square trinomial (PST), so factor it. Consider the task of giving a twenty minute review lecture on the basic proper-ties and role of the Poisson distribution and the Poisson process in probability theory. Completing the Square Calculator. S p wMIa odve l nw Si pt lhw nImnvfBiOnji it ReY yApl agoe tb DrBaI G1D. notebook 2 April 30, 2015 Aug 173:24 PM To complete the square of : Solve Quadratic Equations by Completing the Square Aug 173:24 PM What is the value of b? Solve Quadratic Equations by Completing the Square Aug 173:24 PM Now use the formula,. Dataplot supports the chi-square two sample test for either binned or unbinned data. In this section we will continue solving quadratic equations. Consider the circle xy x y22+ +−−=24 120 19. The Corbettmaths Practice Questions and Answers to Completing the Square. On a different page, we have a completing the square calculator which does all the work for this topic. The method Bowen presents for factoring non-monic quadratics works for higher degrees, too, and it allows you to transform *any* polynomial into a monic one via a change of variable. d is positive and not a perfect square. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Algebra 1 - Quadratic Functions Worksheets Solve Quadratic Equations by Completing the Square Worksheets. This is the pattern from which we can glean information to graph a circle. Guided Practice: 1. Title: Completing the Square Practice Author: mdailey Last modified by: mdailey Created Date: 2/15/2006 3:28:00 PM Other titles: Completing the Square Practice. Solving quadratic equations, complete the square. Example 1: Solve over the set of Reals. 4 Completing the Square Objectives: F. notebook 2 November 11, 2013 Nov 61:30 PM Solving Quadratic Equations by Completing the Square 1. 4 2 Practice Hw. x2 - 2x + c 1 5. Learn how to accurately count two, three, and four-digit numbers. Completing the square on a quadratic equation in standard form results in the quadratic formula, which expresses the solutions in terms of a, b, and c. Completing the Square Calculator Solves equations by completing the square whenever possible. This trick is called "completing the square"! Now we use the binomial formula to simplify the left side of our equation (also adding 7+1=8): Next we take square roots of both sides, but be careful: there are two possible cases: In both cases. Pre Algebra & Algebra Gain Practice Using Roman Numerals With These Worksheets. ALGEBRAIC Set each trinomial equal to zero, and solve the equation by completing the square. Learning to Complete the Square. Complete the square of x 2 12x to form a perfect square trinomial. x + 9x + c 20. Log in to your Practice Fusion EHR account with valid email and password. Age 2 Introduction to shapes -- can complete with adult assistance. Completing the square comes in handy when you’re asked to solve an unfactorable quadratic equation and when you need to graph conic sections (circles, ellipses, parabolas, and hyperbolas). Click the button labeled “Click to Compute”. 1) x2 + 10x - 59 = 0 {-5 + 221, -5 - 221} Infinite Algebra 2 - Completing the Square Practice Created Date:. Be sure to consider the positive and negative square roots. We will use the example [latex]{x}^{2}+4x+1=0[/latex] to illustrate each step. Algebra 1 - Quadratic Functions Worksheets Complete the Square Worksheets. Call of Duty: Warzone is far and away the most amount of hype the Battle Royale genre has seen since Apex Legends. Practice Problems / Worksheet Practice completing the square with 20 equation problems and an answer sheet. Showing top 8 worksheets in the category - Completing The Square. Completing the Square Previously, you solved quadratic equations by isolating x 2 and then using square roots. The fellowship will begin as soon as possible. Then factor. The computer is red; you are blue. Then check. x x− + =2 1 3 Complete the square for each expression. (See the section on solving equations algebraically to review completing the square. VERBAL Compare the number of roots of each equation to the result in the b2 í 4ac column. Nov 13th: Practice Completing the square in class. Exam Questions - Completing the square. Which numbers are possible? 20. Practice B Completing the Square Solve each equation. Step 7: Because the left side is a perfect square, we can take the square root both sides. This technique has applications in a number of areas, but we will see an example of its use in solving a quadratic equation. For example, to solve the equation s^2 – 6s + 5 = 0, the first step is put the constant term on the opposite side of the equation as the terms that contain the variables, by subtracting 5 from both sides, to get s^2 – 6s ___ = - 5 ___. Given a quadratic function, to put it in vertex form, follow the following steps: 1. In this game, if there is a match, the cards disappear from the page; if not, the cards remain on the page. Rather than listing problems here I created two short assignments in MathXL (they are optional and are intended only as practice). Phase one of the project will complete the RACE itself as well as two practice fields for football, with a covered canopy and enhancements to UTSA’s Park West athletics campus slated for. Verifying circles by completing the square, page 2 PROBLEMS Show that the equation represents a circle, and ﬂnd the center and radius of the circle. Solve quadratic equations of the form ax^2+bx+c by completing the square. How to Solve Quadratic Equations using the Completing the Square Method If you are already familiar with the steps involved in completing the square, you may skip the introductory discussion and review the seven (7) worked examples right away. In mathematics, completing the square is often applied in any computation involving quadratic. Completing the Square: Leading Coefficient is 1. I was pretty good at memorization, so I. This section covers: Factoring Methods Completing the Square (Square Root Method) Completing the Square to get Vertex Form Obtaining Quadratic Equations from a Graph or Points Quadratics Review More Practice Note that factoring the sum and difference of cubes, and more advanced polynomial factoring and exponential factoring can be found in the Advanced Factoring section. Completing the Square Calculator Solves equations by completing the square whenever possible. Quadratic Equations – Completing the Square Completing the Square – Solving Quadratic Equations Completing the Square: Solving Quadratic Equations – Ex 2 Completing the Square to Solve Quadratic Equations: More Ex 1 Completing the Square to Solve Quadratic Equations: More Ex 2. If you’re searching for the education, research and training ICN provides, go to www. are the two roots of our polynomial. Next, we need to change what happens when a Square is clicked. Higher-dimensional boxes (Hyper)rectangular walls. Factoring Completing the square Quadratic formula Using a calculator (if permitted) he quadratic formula. S p wMIa odve l nw Si pt lhw nImnvfBiOnji it ReY yApl agoe tb DrBaI G1D. Those limits include all water below 60 degrees south, and some of it, like the Arctic Ocean, is frozen. We also feature 2,000 practice questions, official practice tests, 150 hours of interactive lessons, and 1-on-1 scoring and feedback on your AWA essays. 6 (Part 2) - Completing the Square (Word Problems). 48x 36x2 11 18. ZoomText is the world’s leading magnification and screen reading software for the visually impaired. The vertex form is an easy way to solve, or find the zeros of quadratic equations. It’s important to find one that’s right for you, and it’s okay to visit a few before joining one. Example Group #2: Here are four examples of using the technique of completing the square to determine the standard form of each of the classic conic sections: circles, ellipses, parabolas, and hyperbolas. I would divide everything by two. Solve the quadratic equation by factoring. Exam Questions - Completing the square. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. One of the many ways you can solve a quadratic equation is by completing the square. ©9 T2B0i1 02c zK lu LtFaB lSyoRf gtbw 5a 2r 1eI gL BLXCj. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). Algebra worksheets. 3 years ago. Completing the square by finding the constant You remember that a perfect square trinomial is one that can be factored into the square of a binomial. Worksheets are Completing the square work, Vertex form of parabolas, Quadratic equations by completing the square, Pre ap algebra 2 lesson 4 converting standard form to, Unit 2 2 writing and graphing quadratics work, Work from solving quadratic, Math 154b name completing the square work, Completing the square. Your number will be used as radicand. NUMBERS ALGEBRA If x2 a and a is a nonnegative real number, then completing the square Vocabulary Solve quadratic equations by completing the square. x2 - 8x + 16 = 1 2. Completing the square is a particular format that a quadratic expression is written in. It also helps to find the vertex (h, k) which would be the maximum or minimum of the equation. There is no real number whose square is negative. Part of 1,001 Pre-Calculus Practice Problems For Dummies Cheat Sheet. Most problems a = 1 but there are some in which a is not 1. View Homework Help - 9. Those limits include all water below 60 degrees south, and some of it, like the Arctic Ocean, is frozen. Solve by Completing the Square Step 1: Find ½ of b (coefficient of x) Step 2: Square the result in step 1 Step 3: Add the result of Step 2 to 1. 12 inches 2. x 2 12 Divide both sides by 4. Move all terms not containing to the right side of the equation. 4 Solving Quadratic Equations by Completing the Square 507 Solving Quadratic Equations by Completing the Square The method of completing the square can be used to solve any quadratic equation. 2) View Solution. NAME DATE PERIOD 4-5 PDF Pass Chapter 4 34 Glencoe Algebra 2 Word Problem Practice Completing the Square 1. The Bureau of Labor Statistics is the principal fact-finding agency for the Federal Government in the broad field of labor economics and statistics. x 2 12x Solve each equation by completing the square. Use this fact to ‘complete the square’, and apply the squareand apply the square root property to solve quad. They are not called "square numbers" but do follow an interesting pattern. Completing the Square Practice MathBitsNotebook. 3 6 E12 L F6 6. - Solving quadratic equations by completing the square - Completing the square - example #1 - Completing the square - example #2 - Completing the square - example #3 - Completing the square - example #4 - Completing the square - example #5 Online Practice - Solving quadratics by completing the square #1 - Solving quadratics by completing the. Each Square will now receive a value prop that will either be 'X', 'O', or null for empty squares. Improve your math knowledge with free questions in "Complete the square" and thousands of other math skills. Most problems a = 1 but there are some in which a is not 1. Round to the nearest hundredth if necessary. Then to complete the square we need to. This completes the square. 45 Solving Quadratic Equations by Completing the Square •Solve quadratic equations using the square root property •solve quadratic equations by completing the square •N. Prepare for the MCAT® exam with AAMC Official Prep products written by the test developers. x 2 2x 3 7. Some of the worksheets for this concept are Completing the square work, Vertex form of parabolas, Quadratic equations by completing the square, Pre ap algebra 2 lesson 4 converting standard form to, Unit 2 2 writing and graphing quadratics work, Work from solving quadratic, Math 154b. The discriminant. Use the quadratic formula to solve the following equations. by completing the square. Square practice is an office managers dream come true! Has all the practice statistics on one page and you no longer have to search your practice manager to run the reports your doctor wants. You are playing against the computer. D 7$%8/$5 Copy the table shown and complete the second column. Find the Vertex Form of using Completing the Square Example 1: Read more Completing the Square (Step by Step). Solve by Completing the Square 5n^2+19n-68=-2. 0 Since it cannot be factored using integers, Write the equation in the form ax2 bx c 8 10 8 10 2 2 x x x Find 2 1 of b and add the square of that n umber )2 2 (b to both sides of the equation Think b 8 4 2 1 b and 42 16 10 8 16 10 16 8 2 2 x x x The left side is now a perfect square trinomial (PST), so factor it. Completing the Square Using Algebra Tiles 1. In order to lead a student along the path of understanding this change of form, I begin at. By using this website, you agree to our Cookie Policy. December 2014. 3 Completing the Square A2. Completing the Square Calculator. x2 + 10x = 0 6. This technique we use to convert an equation from standard form to vertex form is called completing-the-square. punnett square practice - worksheet 1. It will include practice fields, locker rooms, a sports medicine center, and strength and. dots by a line. Author: Andrea Kite. Play Completing The Square games in an arcade style format! Review games like Crazy Taxi, Pacman and Soccer merged with trivia questions about Completing The Square Practice to review and study for tests (25226). This makes it possible to solve by using square roots. We must follow these steps: 1. Completing the Square Practice MathBitsNotebook. It’s really fairly simple, though – all you need is a basic knowledge of multiplication and factoring. x2 - 14x + c 49 4. Write each expression below its matching perfect square trinomial. Use this fact to ‘complete the square’, and apply the squareand apply the square root property to solve quad. x2 + 4x + 4 = 1 3. Squares made of square tiles are also fun to make. After doing all 30 problems, students should be more comfortable doing these problems and have a clear understanding of how to solve them. 8x 16x2 27 17. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). Then factor. Return to the content and review the tutorial as needed to complete this assignment. Square Root Property To solve x 2 a, take the square root of both sides of the equation. General Assembly in 1939. 48x 36x2 11 18. Quadratic Equations - Perfect Square Method Some quadratic equations can be solved by bringing it into perfect squares, and then taking square root on both sides. Do this whole packet, check answers on-line, and then work through all the past practice packets. Mathematics. x 2 + 4x = 1 17. per-fect trinomial square. I need some help people! I find completing the square : I definitely will try Algebrator! I didn't know that there are : practice really tough. A magic square of order n is an arrangement of n^2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. Clippers owner Steve Ballmer is in advanced negotiations to purchase The Forum from the Madison Square Garden Co. That would give me 8 where the 9/2 is. Sigma Notation - Quiz 1 : Question Try again, you need to square each term and have a look at the denominator. On this page, you'll find an unlimited supply of printable worksheets for square roots, including worksheets for square roots only (grade 7) or worksheets with square roots and other operations (grades 8-10). Welcome to national5maths. 03 Discuss the above example thoroughly. Fun maths practice! Improve your skills with free problems in 'Solve a quadratic equation by completing the square' and thousands of other practice lessons. ( )x− =2 162 3. O Worksheet by Kuta Software LLC. Not all prepositional phrases after a noun are necessarily part of the noun phrase – they could be later predicate or sentence modifiers. Question Page on the topic of completing the square. Isolate part of the equation using additive inverse. Math 154B Name_____ Completing the Square Worksheet To solve ax2 + bx + c = 0 by "completing the square": 1) Put the variable terms are on the left of the equal sign, in standard form, and the constant term is on the right. by completing the square. This can be written as “if x 2 = c, then. We will now see how to apply it to solving a quadratic equation. Infinite Algebra 2 covers all typical Algebra 2 material, beginning with a few major Algebra 1 concepts and going through trigonometry. Check out our 5-day free trial now:. Popular Problems. DOU J ebeuq '00 Oua ou ous dnse'!ou. Round to the nearest hundredth if necessary. Move all terms not containing to the right side of the equation. x = x 2 +6x=-8. VERBAL Compare the number of roots of each equation to the result in the b2 í 4ac column. Improve your math knowledge with free questions in "Solve a quadratic equation by completing the square" and thousands of other math skills. Practice B The Quadratic Formula Find the zeros of each function by using the Quadratic Formula. Completing the Square. Also contains answers. Completing the Square - Advanced Problems. The club is at the heart of your journey. Algebra 2 & Trigonometry Practice: Completing the Square #1 Page 1 www. 7 - Solving Quadratic Equations by Completing the Square. Solving by completing the square - Higher. Completing the square comes in handy when you’re asked to solve an unfactorable quadratic equation and when you need to graph conic sections (circles, ellipses, parabolas, and hyperbolas). It’s the place you and other members meet to practice, learn, grow, mentor and share. Completing the square by finding the constant You remember that a perfect square trinomial is one that can be factored into the square of a binomial. Practice B The Quadratic Formula Find the zeros of each function by using the Quadratic Formula. ng Class 3 Reteach 9-8 Completing the Square x2+8x+16: (x+4)2 Complete the. Recall that a perfect square trinomial is a trinomial that can be factored as (ax + b)2or (ax – b)2. I sometimes see square brackets used while quoting. ©C z2`0`1D6g xKuuLtzap LSIorf`tewsaMr]e] jL\LdCb. Verifying circles by completing the square, page 2 PROBLEMS Show that the equation represents a circle, and ﬂnd the center and radius of the circle. Is Your Square Complete? ©2001-2003www. Practice 2 - What is missing from this picture? Practice 3 - The constant is what we do not have. The allele combinations along the top and sides become labels for rows and columns within the square. Solve quadratic equations of the form x^2+bx+c by completing the square. Solving by completing the square - Higher. Completing the Square Worksheet (pdf) with Answer Key. Solving for s shows each side length to be 4 feet. notebook 2 November 11, 2013 Nov 61:30 PM Solving Quadratic Equations by Completing the Square 1. Completing the Square. Quadratics and Polynomial Test Practice Problems Name: Next class will be a test on all the material from quarter 1 (100 pts), with an emphasis on the new material below. Page 1 of 2 STUDENT HELP Study Tip In Example 2 note that you must add 25 to both sides of the equation x2 +10x =3 when completing the square. Find the value that must be added and subtracted to create a perfect square. This shift is triggered by many benefits associated with the cloud-based deployment option, including easier implementation and better data security and protection. 2 d 2 8 10d 6. Goose Creek Dental Care is now Carolina Complete Dental! Don't worry, you can still expect the same amazing team and high-quality care. All we need to do to go from the given form to the vertex form is figure out which binomial square the part of the equation is the beginning of. How do I complete the square of an odd number? the equation is. And we'll do some package problems to have it make more sense. 6 mmol 2 per Clinical Practice. Punnett Square Practice Assignment Directions: For each of the following problems, complete the Punnett Square provided and fill in the information requested. Keep in mind you can use problems from Completing the square but use the Quadratic formula. Solve by completing the square. Welcome! This is one of over 2,200 courses on OCW. Based on Chapter 23 of The Basic Practice of Statistics (6th ed. x 2 + 6x + 2 = 0. Consider the task of giving a twenty minute review lecture on the basic proper-ties and role of the Poisson distribution and the Poisson process in probability theory. Learn How to Simplify Square Roots. Completing the square is one of the most confusing things you'll be asked to do in an Algebra class. Click on two cards to pair a square root with the correct number. I was pretty good at memorization, so I. LESSON 9-8. ExploreLearning ® is a Charlottesville, VA based company that develops online solutions to improve student learning in math and science. Some quadratics cannot be factorised. Since all allele combinations are equally likely to occur, a Punnett Square predicts the probability of a cross producing each genotype. This is the pattern from which we can glean information to graph a circle. Completing the Square Calculator. Thiscanbeusedto solvequadraticequations. 2 x 2 6 42 2. Complete the Square - Online Practice - Chapter 4. In this magic square game you have to move the numbers on the right inside the squares, so that the sum of any three numbers vertically, horizontally, or diagonally equals to 15. Solve Quadratics Math Worksheets To Practice Solving. MathBitsNotebook Algebra 1 CCSS Lessons and Practice is free site for students (and teachers) studying a first year of high school algebra. Practice B Completing the Square Solve each equation. > E8 > E85 L F10 4. We provide services ranging from free pregnancy confirmation, to prenatal appointments; and from pediatrics, to chronic care for your older family members– all under the same roof. Some quadratics cannot be factorised. 2 – Estimating Square Roots Name: _____ Complete the following exercises on this worksheet, using the answer key as a guide, and then submit by e-mail. by completing the square. Group the three terms that form the perfect square. Recall also the method of algebraically "completing the square". need to be prepared to use the appropriate method and should practice using the various methods (below) until they are comfortable with all of them. Completing the Square – Practice Problems Move your mouse over the "Answer" to reveal the answer or click on the "Complete Solution" link to reveal all of the steps required to solve a quadratic by completing the square. Part of 1,001 Pre-Calculus Practice Problems For Dummies Cheat Sheet. 5-4 Completing the Square LESSON You can use the square root property to solve some quadratic equations. 8 Modeling with Quadratic Functions. Completing the square is one of the most confusing things you'll be asked to do in an algebra class. 6 (Part 2) - Completing the Square (Word Problems). Once we identify what a, b, and c are in the quadratic, we can substitute those 9. Second Practice Second Midterm Exam 20. So, by completing the square we were able to take an integral that had a general quadratic in it and convert it into a form that allowed us to use a known integration technique. The square of a binomial is the sum of: the square of the first terms, twice the product of the two terms, and the square of the last term. An easy chi-square test calculator for a 2 x 2 table. t Z cAplpld cr3i rg lhxt Hs6 wrheps ae Nrhv Yetd n. $\begingroup$ Completing the square took place in the second line. U Worksheet by Kuta Software LLC. Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. Solving quadratic equations by completing the square Don't just watch, practice makes perfect. 9th - 10th grade. Completing the Square – Practice Problems Move your mouse over the "Answer" to reveal the answer or click on the "Complete Solution" link to reveal all of the steps required to solve a quadratic by completing the square. Instructions Use black ink or ball-point pen. We have seen that expressions of the form \(x^2 - b^2\) are known as differences of squares and can be factorised as \((x-b)(x+b)\).