Solving a Radical Equation in Quadratic Form
What are all values of $x$ for which $$\sqrt{x+7}+\frac{2}{\sqrt{x+7}}=5$$?
A
$$7-\left(\frac{5\pm\sqrt{17}}{2}\right)^2$$
B
$$\left(\frac{5\pm\sqrt{17}}{2}\right)^2-7$$
C
$$\frac{5+\sqrt{17}}{2}-7$$
D
$$\left(\frac{5-\sqrt{17}}{2}\right)^2-7$$
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