Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 128: 41

Answer

3

Work Step by Step

$2\sqrt {x+1}=1+\sqrt {2x+3}$ $4(x+1) = 1+ 2x+3 +2\sqrt {2x+3}$ $2x = 2\sqrt {2x+3}$ $x^2=2x+3$ (x-3)(x+1) = 0 x=3 or -1 Check the solutions to check for extraneous solutions. x = -1 gives 0 = 2, contradiction x=3 gives 4=4 which is a valid solution
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