Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Practice and Problem-Solving Exercises - Page 580: 34



Work Step by Step

$q^2+3q+1=0$ or, $q^2+3q=-1$ Compare it with the standard form of quadratic equation $ax^2+bx+c$, we have $a=1, b=3$ To complete the square, add $\frac{9}{4}$ on both sides. $q^2+3q+\frac{9}{4}=-1+\frac{9}{4}$ $\implies (q+\frac{3}{2})^2=\frac{5}{4}$ $\implies (q+1.5)^2=\frac{5}{4}$ $\implies (q+1.5)=1.12$ and $\implies (q+1.5)=-1.12$ or, $q=-0.38,-2.62$
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