What is the answer to 4/x = x/9 ?

The answer to 4/x = x/9 is x=6,x=-6

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4/x = x/9

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

x = 6, x = - 6

Solution steps

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

Cross multiply

36 = x^{2}

Solve

36 = x^{2} : x = 6, x = - 6

x = 6, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 6

\frac{1}{a ^{- n}} = a^{n}

9 = \frac{8 c + 15}{c}

\frac{1}{x + 1} + 5 = \frac{11}{x + 1}

\frac{49}{x} = \frac{7}{2}

\frac{a - x}{b} = 2 - \frac{a - b}{x}