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

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

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2/x = x/8

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

x = 4, x = - 4

Solution steps

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

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

x + \frac{2}{x} - 3 = 0

a, \frac{m}{a} = n + p

\frac{4}{2 x - 3} = \frac{2}{5}

\frac{x + 1}{x + 2} = 0

\frac{x}{\frac{5}{6} x - 8} = - 7