Solving a Radical Equation
What is the solution to the equation $$\sqrt{5x+9}-\frac{3x}{\sqrt{x+6}}=\sqrt{x+6}$$?
A
$$\frac{9+3\sqrt{97}}{22}$$
B
$$\frac{-9+3\sqrt{97}}{22}$$
C
$$\frac{-9+3\sqrt{97}}{11}$$
D
$$\frac{-9-3\sqrt{97}}{22}$$
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