Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Cumulative Review: 39

Answer

x = -2 or x = 11

Work Step by Step

$x^{2} - 9x - 22$ = 0 Thus, we need two numbers such that their sum is -9 and product is = -22. Thus, the required numbers are -11 and 2. Check: Sum = -11 + 2 = -9 Product = -11(2)= -22. Solve the equation. $x^{2} - 9x - 22$ = $x^{2} - 11x + 2x - 22$ = x(x - 11) + 2( x- 11) = 0. Thus (x + 2)(x - 11) = 0. If x+2 = 0, then x = 0 - 2 = -2. If x -11 = 0, then x = 0 + 11 = 11.
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