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: 24

Answer

$\frac{5}{4}\approx1.25, \ or, \ -\frac{5}{4}\approx-1.25$

Work Step by Step

For the equation $16x^2 -25= 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=16, \quad b=0, \quad c=-25 .$$ That is, $$ x=\frac{0\pm \sqrt{0-4(16)(-25)}}{2(16) }=\frac{5}{4}\approx1.25, \ or, \ -\frac{5}{4}\approx-1.25 .$$
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