College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 161: 85


The solutions are $x=2$ and $x=\dfrac{1}{5}$

Work Step by Step

$5x^{2}+2=11x$ Take $11x$ to the left side: $5x^{2}-11x+2=0$ Solve this equation by factoring: $(5x-1)(x-2)=0$ Set both factors equal to $0$ and solve each individual equation for $x$: $5x-1=0$ $5x=1$ $x=\dfrac{1}{5}$ $x-2=0$ $x=2$ The solutions are $x=2$ and $x=\dfrac{1}{5}$
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