What is the answer to 8/x = x/2 ?

The answer to 8/x = x/2 is x=4,x=-4

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8/x = x/2

\frac{8}{x} = \frac{x}{2}

x = 4, x = - 4

Solution steps

\frac{8}{x} = \frac{x}{2}

Cross multiply

16 = x^{2}

Solve

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

x = 4, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 4

\frac{x + 8}{x} = \frac{15}{9}

\frac{2 x}{x + 3} = 5 - \frac{6}{x + 3}

\frac{16}{x} = 4

\frac{v ^{2} + v}{2 v + 1} = v - 3

\frac{2 x - 7}{2 x + 4} = \frac{2}{3}