Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.7 - Polynomial Equations and Their Applications - Exercise Set - Page 391: 62

Answer

$x=5,-6$

Work Step by Step

As per given question: $61-x^2=(x+1)^2$ This can be written as: $61-x^2=x^2+2x+1$ or, $2x^2+2x-60=0$ Need to use factorization to solve the quadratic equation . $2x^2-10x+12x-60=0$ or, $(x-5)(2x+12)=0$ This implies $x-5=0$ and $2x+12=0$ Hence, $x=5,-6$
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