College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.4 - Radical Equations; Equations Quadratic in Form; Factorable Equations - 1.4 Assess Your Understanding: 53

Answer

$s=-\displaystyle \frac{3}{2}$ or $s=2$

Work Step by Step

We solve by factoring: $2(s+1)^{2}-5(s+1)=3$ $2(s+1)^{2}-5(s+1)-3=0$ $[2(s+1)+1][(s+1)-3]=0$ $(2s+2+1)(s+1-3)=0$ $(2s+3)(s-2)=0$ $2s+3=0$ or $s-2=0$ $s=-\displaystyle \frac{3}{2}$ or $s=2$
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