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Solving A Radical Equation

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Find the value of x that satisfies the equation 2xx+5−x2x+5−32=0\frac{2x}{\sqrt{x+5}} - \frac{x}{2\sqrt{x+5}} - \frac{3}{2} = 0.

A

x=1+212x = \frac{1+\sqrt{21}}{2}

B

x=1+212x = \sqrt{\frac{1+\sqrt{21}}{2}}

C

x=21−12x = \frac{\sqrt{21}-1}{2}

D

x=1−212x = \frac{1-\sqrt{21}}{2}

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