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Solving a Radical Equation in Quadratic Form

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What are all values of $x$ for which x+7+2x+7=5\sqrt{x+7}+\frac{2}{\sqrt{x+7}}=5?

A

7−(5±172)27-\left(\frac{5\pm\sqrt{17}}{2}\right)^2

B

(5±172)2−7\left(\frac{5\pm\sqrt{17}}{2}\right)^2-7

C

5+172−7\frac{5+\sqrt{17}}{2}-7

D

(5−172)2−7\left(\frac{5-\sqrt{17}}{2}\right)^2-7

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