What is the answer to 3/x =12x ?

The answer to 3/x =12x is x= 1/2 ,x=-1/2

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3/x =12x

\frac{3}{x} = 12 x

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

Solution steps

\frac{3}{x} = 12 x

Multiply both sides by

x

3 = 12 x^{2}

Solve

3 = 12 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{2}{x} = \frac{3}{x ^{2} + 1}

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

x, 2 = \frac{y - x}{y + x}

\frac{y}{32} = \frac{32 + 18}{y}

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