College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6 - Page 178: 18



Work Step by Step

Isolate the square root on one side. Then square both sides and put all terms on one side. Factor by trial and error to solve for $x$. One of the answers does not work. $x-\sqrt{x+11}=1$ $x-1=\sqrt {x+11}$ $(x-1)^2=(\sqrt {x+11})^2$ $x^2-2x+1=x+11$ $x^2-3x-10=0$ $(x-5)(x+2)=0$ $x=-2,5$ $-2-\sqrt {-2+11}\ne1$ $x=5$
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