Solving Equations by Completing the Square Essential Question: How can you use completing the square to solve a quadratic equation? OExplain 1 Solving x² + bx +c=0 by Completing the Square Completing the square is a process of rewriting a quadratic expression as a perfect square trinomial so that it can be solved by taking square roots. Steps 1. Find ). 2. Add (eand subtract (after the linear term. 3. Group the first 3 terms using parenthesis because they form a Perfect- Square Trinomial. 4. Factor them into a binomial squared. 5. Solve the resultant equation by the method of Taking the Square Root. NOXIC

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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layeh r+and the with is
15 5
22.2 Solving Equations by Completing the Square
Completing the square is a process of rewriting a quadratic expression as a perfect sae
trinomial so that it can be solved by taking square roots.
O Explain 1 Solving x² + bx +c=0 by Completingthe Square
Steps
1. Find ).
2. Add (2and subtract eafter the linear term.
3. Group the first 3 terms using parenthesis because they form a Perfect-
Square Trinomial.
4. Factor them into a binomial squared.
5. Solve the resultant equation by the method of Taking the Square Root.
DIXON T
raadier deniradi
Tou do
r fd the dimeni af the
d de nt pides
(21-1 or tes
05 4:-5
de nher? Uke the equation iz-16+ rt + s
Transcribed Image Text:layeh r+and the with is 15 5 22.2 Solving Equations by Completing the Square Completing the square is a process of rewriting a quadratic expression as a perfect sae trinomial so that it can be solved by taking square roots. O Explain 1 Solving x² + bx +c=0 by Completingthe Square Steps 1. Find ). 2. Add (2and subtract eafter the linear term. 3. Group the first 3 terms using parenthesis because they form a Perfect- Square Trinomial. 4. Factor them into a binomial squared. 5. Solve the resultant equation by the method of Taking the Square Root. DIXON T raadier deniradi Tou do r fd the dimeni af the d de nt pides (21-1 or tes 05 4:-5 de nher? Uke the equation iz-16+ rt + s
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