Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.2 - Solving Quadratic Equations by Completing the Square - Exercise Set: 13

Answer

x=1

Work Step by Step

The coefficient of x is 4. Adding the square of half the coefficient of x creates a perfect square. $(4\div2)^2=2^2=4$ $x^2+4x=5$ Add the square of half the coefficient of x to each side of the equation. $x^2+4x+4=5+4$ Simplify. $x^2+4x+4=9$ Factor the polynomial. $(x+2)^2=9$ Take the square root of each side. $\sqrt{(x+2)^2}=\sqrt 9$ Simplify. $x+2=3$ Subtract 2 from each side. $x+2-2=3-2$ Simplify. $x=1$
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