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

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

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x/4 =(16)/x

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

x = 8, x = - 8

Solution steps

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

Cross multiply

x^{2} = 64

Solve

x^{2} = 64 : 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{4}{x} = \frac{10}{7.5}

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

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

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

\frac{3 - x}{x - 3} = - 1