Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - Chapter Review - Page 536: 27

Answer

$x=3$ and $x=-5$.

Work Step by Step

Comparing $x^{2}+2x-15=0$ with $ax^{2}+bx+c=0$, we see that $a=1, b=2$ and $c=-15$. Using the quadratic formula, we have $x=\frac{-b\pm \sqrt {b^{2}-4ac}}{2a}=\frac{-2\pm\sqrt {2^{2}-4(1)(-15)}}{2(1)}$ $=\frac{-2\pm8}{2}$ So, the solutions are $x=\frac{-2+8}{2}=3$ and $x=\frac{-2-8}{2}=-5$.
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