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

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

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(27)/x = x/3

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

x = 9, x = - 9

Solution steps

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

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

y, x = \frac{2 y + 1}{y + 3}

\frac{1}{x + 1} + 3 = \frac{7}{x + 1}

2 x + \frac{12}{x} = 11

(\frac{9}{x} + 12) \cdot 2 = 14 x

2 x^{- 2} - 5 x^{- 1} - 3 = 0