What is the answer to x/9 = 1/x ?

The answer to x/9 = 1/x is x=3,x=-3

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x/9 = 1/x

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

x = 3, x = - 3

Solution steps

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

Cross multiply

x^{2} = 9

Solve

x^{2} = 9 : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 3

\frac{15}{h} = \frac{5}{6}

\frac{1}{x} = 1 - \frac{12}{x ^{2}}

\frac{4 x}{2 x - 1} = \frac{3}{2 x + 1}

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

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