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: 30

Answer

The solutions are -3 and 8.

Work Step by Step

$x^{2}$-5x=24 $x^{2}$-5x-24=24-24 $x^{2}$-5x-24=0 $x^{2}$-8x+3x-24=0 x(x-8)+3(x-8)=0 (x+3)(x-8)=0 x+3=0 x-8=0 x+3-3=0-3 or x-8+8=0+8 x=-3 or x=8 The solutions are -3 and 8. Check Let x=-3 $x^{2}$-5x=24 $(-3)^{2}$ -5(-3)=24 9+15=24 24=24 Let x=8 $x^{2}$-5x=24 $8^{2}$-5*8 =24 64-40=24 24=24
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