Elementary Technical Mathematics

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

Chapter 11 - Review - Page 380: 10

Answer

$6, \ or, \ -0.667$

Work Step by Step

For the equation $3x^2 -16x-12= 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=3, \quad b=-16, \quad c=-12 .$$ That is, $$ x=\frac{16\pm \sqrt{16^2-4(3)(-12)}}{2(3) }=6, \ or, \ -0.667 .$$
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