Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Factoring - Exercise - Page 364: 28

Answer

$x=\frac{5}{8}$ or $x=\frac{2}{3}$.

Work Step by Step

By factorization, we have $$24x^2 -31 x+10=(8x-5)(3x-2)=0.$$ Then we have $$(8x-5)=0, \quad \text{or} \quad (3x-2) =0$$ that is $x=\frac{5}{8}$ or $x=\frac{2}{3}$.
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