Elementary Technical Mathematics

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

Chapter 11 - Test - Page 380: 7

Answer

$\frac{5}{3}\approx 1.67,\ or, \ -\frac{2}{7}\approx -0.286$

Work Step by Step

For the equation $21x^2 -29x-10= 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=21, \quad b=-29, \quad c=-10.$$ That is, $$ x=\frac{29 \pm \sqrt{29^2-4(21)(-10)}}{2(21) }=\frac{5}{3}\approx 1.67,\ or, \ -\frac{2}{7}\approx -0.286$$
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