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: 15

Answer

$x = -\frac{2}{3}, 4$

Work Step by Step

$3x^{2} = 10x + 8$ $3x^{2} - 10x - 8 = 0$ Find two numbers that can be multiplied together to get $-24$ and can be added together to get $-10$. $= 2$ and $-12$ $3x^{2} + 2x - 12x - 8 = 0$ $x(3x + 2) - 4(3x + 2) = 0$ $(3x + 2)(x-4) = 0$ $x = -\frac{2}{3}, 4$ $3x + 2 = 0$ $3x = -2$ $x = -\frac{2}{3}$
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