Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises: 41

Answer

$\left\{-\frac{3}{2}, 7\right\}$

Work Step by Step

Add $2x^2$ and subtract $11x$ to both sides of the equation to obtain: $$-2x^2+11x+2x^2-11x=-21+2x^2-11x \\0=2x^2-11x-21$$ Factor the trinomial to obtain: $$(2x+3)(x-7)=0$$ Use the Zero-Factor property by equating each factor to zero, then solve the equation to obtain: $$2x+3=0 \text{ or } x-7=0 \\2x=-3 \text{ or } x=7 \\x=-\frac{3}{2} \text{ or } x=7$$
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