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: 29

Answer

$15.453, \ or, \ -0.453$

Work Step by Step

For the equation $x^2 -15x-7= 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=1, \quad b=-15, \quad c=-7 .$$ That is, $$ x=\frac{15\pm \sqrt{225+28}}{2(1) }=15.453, \ or, \ -0.453 .$$
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