Elementary Technical Mathematics

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

Chapter 11 - Section 11.2 - The Quadratic Formula - Exercise - Page 367: 27

Answer

$2.38, \ or, \ -2.38$

Work Step by Step

For the equation $3x^2 -17= 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=3, \quad b=0, \quad c=-17 .$$ That is, $$ x=\frac{0\pm \sqrt{0-4(3)(-17)}}{2(3) }=2.38, \ or, \ -2.38 .$$
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