What is the answer to x+1/6 = 1/(6x) ?

The answer to x+1/6 = 1/(6x) is x= 1/3 ,x=-1/2

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x+1/6 = 1/(6x)

x + \frac{1}{6} = \frac{1}{6 x}

x = \frac{1}{3}, x = - \frac{1}{2}

Decimal Notation

x = 0.33333 \dots, x = - 0.5

Solution steps

x + \frac{1}{6} = \frac{1}{6 x}

Multiply both sides by

x

x^{2} + \frac{1}{6} x = \frac{1}{6}

Solve

x^{2} + \frac{1}{6} x = \frac{1}{6} : x = \frac{1}{3}, x = - \frac{1}{2}

x = \frac{1}{3}, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}, x = - \frac{1}{2}

8 - \frac{1}{3 x} = 16

\frac{4}{9} = \frac{1}{x}

\frac{x}{3} + \frac{18}{x} + 5 = 0

\frac{3.4}{x} = \frac{2.17}{7.7}

5 (\frac{x}{2900 + x}) = 0.2

What is the answer to x+1/6 = 1/(6x) ?
The answer to x+1/6 = 1/(6x) is x= 1/3 ,x=-1/2
Solve for x: x+1/6 = 1/(6x)
The solution is x= 1/3 ,x=-1/2