What is the answer to 1/x = x/4 ?

The answer to 1/x = x/4 is x=2,x=-2

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1/x = x/4

\frac{1}{x} = \frac{x}{4}

x = 2, x = - 2

Solution steps

\frac{1}{x} = \frac{x}{4}

Cross multiply

4 = x^{2}

Solve

4 = x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

\frac{4}{x} = 12

\frac{3}{2 ( 4 x ^{2} - 20 x + 60 )} = 0

5 = (\frac{500}{500 + x}) 100

\frac{8 - 3 x}{4 x} + 1 = \frac{2}{x}

\frac{19 + x}{25 + x} = \frac{4}{5}