Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Standardized Test Prep - Page 566: 50



Work Step by Step

Consider the expression: $(x+2)(x+1)=40$ or, $x^2+3x+2=40$ or, $x^2+3x=40-2=38$ 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. $x^2+3x+\frac{9}{4}=38+\frac{9}{4}$ $(x+\frac{3}{2})^2=\frac{161}{4}$ $\implies (x+1.5)=6.3$ Neglect negative term, we get $x=4.8$
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