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: 1

Answer

$m=1$ and $m=-6$

Work Step by Step

$m^{2}+5m-6=0$ Use the quadratic formula to solve this equation. The formula is $m=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ In this equation, $a=1$, $b=5$ and $c=-6$ Substitute: $m=\dfrac{-5\pm\sqrt{5^{2}-4(1)(-6)}}{2(1)}=\dfrac{-5\pm\sqrt{25+24}}{2}=...$ $...=\dfrac{-5\pm\sqrt{49}}{2}=\dfrac{-5\pm7}{2}$ Our two solutions are: $m=\dfrac{-5+7}{2}=1$ $m=\dfrac{-5-7}{2}=-6$
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