What is the answer to 1/x = 6/(x^2) ?

The answer to 1/x = 6/(x^2) is x=6

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1/x = 6/(x^2)

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

x = 6

Solution steps

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

Cross multiply

x^{2} = x \cdot 6

Solve

x^{2} = x \cdot 6 : x = 6, x = 0

x = 6, x = 0

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 6

12 x - \frac{288}{x ^{2}} = 0

1 - \frac{8}{x ^{2} + 6 x} = - \frac{x}{x + 6}

\frac{7 x - 1}{x ^{2} + 9} = 1

\frac{5 x}{x - 3} - 1 = - \frac{1}{x - 3}

\frac{8}{x} = \frac{x}{2}