Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Appendix A - A.4 - Quadratic Equations - Exercises - Page 560: 16

Answer

$x = -7, 2$

Work Step by Step

$8x^{2} + 40x - 112 = 0$ $8(x^{2} + 5x - 14) = 0$ Find two numbers that can be multiplied together to get $-14$ and can be added together to get $5$. $= -2$ and $7$ $8[x^{2} -2x + 7x - 14] = 0$ $8[x(x-2) + 7(x-2)] = 0$ $8(x+7)(x-2) = 0$ $x = -7, 2$
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