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: 29

Answer

The solutions are -4 and 8.

Work Step by Step

$x^{2}$-4x=32 $x^{2}$-4x-32=32-32 $x^{2}$-4x-32=0 $x^{2}$-8x+4x-32=0 x(x-8)+4(x-8)=0 (x+4)(x-8)=0 x+4=0 x-8=0 x+4-4=0-4 or x-8+8=0+8 x=-4 or x=8 The solutions are -4 and 8. Check Let x=-4 $x^{2}$-4x=32 $(-4)^{2}$ -4(-4)=32 16+16=32 32=32 Let x=8 $x^{2}$-4x=32 $8^{2}$-4*8 =32 64-32=32 32=32
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