Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.5 Solve Quadratic Equations by Finding Square Roots - 4.5 Exercises - Mixed Review - Page 271: 59


The solutions are $x=4$ or $x=-\displaystyle \frac{8}{3}.$

Work Step by Step

$|-2+3x|=10\qquad$....write equivalent equations. $-2+3x=10 $ or $ -2+3x=-10\qquad$....solve each equation separately. $-2+3x=10\qquad$ ...add $2$ to each side. $-2+3x+2=10+2\qquad$ ...simplify. $ 3x=12\qquad$ ...divide each side with $3$. $x=4$ $-2+3x=-10\qquad$ ...add $2$ to each side. $-2+3x+2=-10+2\qquad$ ...simplify. $ 3x=-8\qquad$ ...divide each side with $3$. $x=-\displaystyle \frac{8}{3}$
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