What is the answer to 3/x = x/(27) ?

The answer to 3/x = x/(27) is x=9,x=-9

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3/x = x/(27)

\frac{3}{x} = \frac{x}{27}

x = 9, x = - 9

Solution steps

\frac{3}{x} = \frac{x}{27}

Cross multiply

81 = x^{2}

Solve

81 = x^{2} : x = 9, x = - 9

x = 9, x = - 9

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 9, x = - 9

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

\frac{2}{3 - x} - \frac{6}{8 - x} = 1

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

3 = \frac{1}{x}

\frac{4 k - 10}{k} = 8