What is the answer to 4/(x^2)= 1/((a-x)2) ?

The answer to 4/(x^2)= 1/((a-x)2) is x=(-8+sqrt(64+32a))/2 ,x=(-8-sqrt(64+32a))/2

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4/(x^2)= 1/((a-x)2)

\frac{4}{x ^{2}} = \frac{1}{( a - x ) 2}

x = \frac{- 8 + 64 + 32 a}{2}, x = \frac{- 8 - 64 + 32 a}{2}

Solution steps

\frac{4}{x ^{2}} = \frac{1}{( a - x ) \cdot 2}

Cross multiply

8 (a - x) = x^{2}

Solve

8 (a - x) = x^{2} : x = \frac{- 8 + 64 + 32 a}{2}, x = \frac{- 8 - 64 + 32 a}{2}

x = \frac{- 8 + 64 + 32 a}{2}, x = \frac{- 8 - 64 + 32 a}{2}

\frac{12}{23} = \frac{0.5}{x}

u, \frac{1}{u} + \frac{1}{v} = \frac{1}{f}

2 x = \frac{1}{3 x ^{2}}

\frac{x + 1}{x} = \frac{29}{10}

(\frac{( x + 1 )}{( x - 4 )})^{2} = \frac{( x + 8 )}{( x - 2 )}

What is the answer to 4/(x^2)= 1/((a-x)2) ?
The answer to 4/(x^2)= 1/((a-x)2) is x=(-8+sqrt(64+32a))/2 ,x=(-8-sqrt(64+32a))/2