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AP Calculus BC/Unit 8: Applications of Integration
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Solving a Radical Equation

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Parameter Equation with Radicals – Solve for m in
1m(m+16+12m+9)=5m.\frac{1}{m}\Bigl(\sqrt{m+16}+\frac{1}{2}\sqrt{m+9}\Bigr)=\frac{5}{m}.
Multiply by m (assume m ≠0\neq 0) to obtain
m+16+12m+9=5.\sqrt{m+16}+\frac{1}{2}\sqrt{m+9}=5.
Then solve for m.

A

335−40∗799\frac{335-40*\sqrt{79}}{9}

B

335+40∗799\frac{335+40*\sqrt{79}}{9}

C

3359−4079\frac{335}{9}-\frac{40}{\sqrt{79}}

D

335−20∗799\frac{335-20*\sqrt{79}}{9}

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