What is the answer to 4/x = x/(16) ?

The answer to 4/x = x/(16) is x=8,x=-8

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4/x = x/(16)

\frac{4}{x} = \frac{x}{16}

x = 8, x = - 8

Solution steps

\frac{4}{x} = \frac{x}{16}

Cross multiply

64 = x^{2}

Solve

64 = x^{2} : x = 8, x = - 8

x = 8, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8, x = - 8

\frac{5}{z - 4} - \frac{2}{z + 4} = 0

\frac{x + 1}{8} = \frac{6}{x - 1}

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

2 x + 1 = \frac{5}{( x + 2 )}

\frac{x + 3}{5} = \frac{2}{x}