Intermediate Algebra for College Students (7th Edition)

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

Chapter 7 - Section 7.6 - Radical Equations - Exercise Set - Page 561: 62

Answer

See explanation

Work Step by Step

It is a good idea to isolate the radical term because that would enable us to eliminate the radical sign by squaring both sides of the equation. If we choose to square both sides of the equation without isolating the radical sign, we would still end up with the same radical term, and there by complicating the problem even more. Try it! \begin{equation} \begin{aligned} \left(\sqrt{2 x-1}+2\right)^2=x^2\\ (2x-1)+4\sqrt{2 x-1}+4& = x^2\\ \end{aligned} \end{equation} Thus, we have ended up with a more complicated radical equation than we had
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