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Solve for x, If \(\frac{\frac{2}{x}}{\frac{1}{p^2} + \f...

Solve for x, If $\frac{\frac{2}{x}}{\frac{1}{p^2} + \frac{1}{p^2}}$ = m

A.

$\frac{4pq}{m(p + q)}$

B.

$\frac{2p^2q^2}{m(q^2 + p^2)}$

C.

$\frac{2pq}{m(q^2 + p^2)}$

D.

$\frac{2p^2q^2}{m(p^2)}$

View answer & explanation

Correct answer is B

$\frac{1}{p^2}$ + $\frac{1}{q^2}$ = $\frac{q^2 + p^2}{p^2 + q^2}$

$\frac{\frac{2}{x}}{\frac{p^2 + q^2}{p^2 q^2}}$

m = $\frac{2p^2q^2}{x(p^2 + q^2)}$

= m2p2q2 = m x (p2 + q2)

x = $\frac{2p^2q^2}{m(q^2 + p^2)}$

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