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AP Calculus AB/Unit 7: Differential Equations
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Solving a Radical Equation

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What is the solution to the equation 4x+9−2x−1=2x+52x+5\sqrt{4x+9}-\sqrt{2x-1}=\frac{2x+5}{\sqrt{2x+5}}?

A

x=−1+614x=-1+\frac{\sqrt{61}}{4}

B

x=−1−614x=-1-\frac{\sqrt{61}}{4}

C

x=−1+174x=-1+\frac{\sqrt{17}}{4}

D

x=1+614x=1+\frac{\sqrt{61}}{4}

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