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If y = $\frac{(2\sqrt{x^2 + m})}{3N}$ , make x the subject ...

If y = $\frac{(2\sqrt{x^2 + m})}{3N}$ , make x the subject of the formular

A.

$\frac{\sqrt{9y^2 N^2 - 2m}}{3}$

B.

$\frac{\sqrt{9y^2 N^2 - 4m}}{2}$

C.

$\frac{\sqrt{9y^2 N^2 - 3m}}{2}$

D.

$\frac{\sqrt{9y^2 N - 3m}}{2}$

View answer & explanation

Correct answer is B

y = $\frac{(2\sqrt{x^2 + m})}{3N}$

3yN = 2( $\sqrt{x^2 + m})$

$\frac{3yN}{2} = \sqrt{x^2 + m}$

( $\frac{3yN}{2})^2 = ( \sqrt{x^2 + m})$

$\sqrt{\frac{9y^2N^2}{4} - \frac{m}{1}}$

x = $\frac{\sqrt{9Y^2N^2 - 4m}}{4}$

x = $\frac{\sqrt{9y^2N^2 - 4m}}{2}$

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