Answer
See below
Work Step by Step
Given: $\sqrt 4x-3=\sqrt 2x+13$
Square both sides: $4x-3=2x+13\\2x=16\\x=8$
Check: $\sqrt 4(8)-3=\sqrt 29=\sqrt 2(8)+19$
Hence, the solution is $x=8$. There are no extraneous solutions.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 8 Rational Functions - 8.1 Model Inverse and Joint Variation - 8.1 Exercises - Mixed Review - Page 557: 57
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