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

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

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8/x =2x

\frac{8}{x} = 2 x

x = 2, x = - 2

Solution steps

\frac{8}{x} = 2 x

Multiply both sides by

x

8 = 2 x^{2}

Solve

8 = 2 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

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

\frac{x - 3}{x + 1} = 0

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

9 x = \frac{1}{x}

\frac{6}{x} - 2 x = 9