Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 21

Answer

The solutions are 2 and -4.

Work Step by Step

$x^{2}$+2x-8=0 $x^{2}$+4x-2x-8=0 x(x+4)-2(x+4)=0 (x-2)(x+4)=0 x-2=0 or x+4=0 x-2+2=0+2 or x+4-4=0-4 x=2 or x=-4 The solutions are 2 and -4. Check Let x=2 $x^{2}$+2x-8=0 $2^{2}$ +2*2-8=0 4+4-8=0 8-8=0 0=0 Let x=-4 $x^{2}$+2x-63=0 $(-4)^{2}$ +2(-4)-8=0 16-8-8=0 0=0
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