Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.2 - Solving Quadratic Equations by Completing the Square - Exercise Set: 9

Answer

$m=\dfrac{1}{8}\pm\dfrac{\sqrt{57}}{8}$

Work Step by Step

$8m^{2}-2m=7$ Take the $7$ to the left side of the equation: $8m^{2}-2m-7=0$ Use the quadratic formula to solve this equation. The formula is $m=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}$. For this equation, $a=8$, $b=-2$ and $c=-7$ Substitute: $m=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(8)(-7)}}{2(8)}=\dfrac{2\pm\sqrt{4+224}}{16}=...$ $...=\dfrac{2\pm\sqrt{228}}{16}=\dfrac{1}{8}\pm\dfrac{\sqrt{57}}{8}$
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