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: 17



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. $x-\sqrt {2x+5}=5$ $x=5+\sqrt {2x+5}$ $(x-5)^2=2x+5$ $x^2-10x+25=2x+5$ $x^2-12x+20=0$ $(x-2)(x-10)=0$ $x=2,10$ $2-\sqrt{2\times2+5}\ne5$ $x=10$
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