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Solving a Radical Equation

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What are all values of $x$ that satisfy the equation $\frac{\sqrt{x+3}}{x-1} - \frac{2(x-1)}{\sqrt{x+3}} = 0$?

A

x=5−334x = \frac{5-\sqrt{33}}{4}

B

x=5+334x = \frac{5+\sqrt{33}}{4}

C

x=5+334 and x=5−334x = \frac{5+\sqrt{33}}{4}\text{ and }x = \frac{5-\sqrt{33}}{4}

D

x=54x = \frac{5}{4}

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