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

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

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1/x = 1/(x^2)

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

x = 1

Solution steps

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

Cross multiply

x^{2} = x

Solve

x^{2} = x : x = 1, x = 0

x = 1, x = 0

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 1

\frac{x + 9}{x - 6} = \frac{3}{7}

\frac{4}{y} - 5 = \frac{5}{2 y}

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

\frac{4}{x} + 10 = \frac{4}{x - 3}

\frac{3}{7 x - 2} = \frac{9}{3 x + 1}