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

The answer to 2/x =8x is x= 1/2 ,x=-1/2

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2/x =8x

\frac{2}{x} = 8 x

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

\frac{2}{x} = 8 x

Multiply both sides by

x

2 = 8 x^{2}

Solve

2 = 8 x^{2} : x = \frac{1}{2}, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{- 12}{7 x} = 1 + \frac{x}{7}

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

24 x - 55 = \frac{24}{x}

\frac{10}{5} = \frac{6}{x}

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