What is the answer to 1/x =x ?

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

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1/x =x

\frac{1}{x} = x

x = 1, x = - 1

Solution steps

\frac{1}{x} = x

Multiply both sides by

x

1 = x^{2}

Solve

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

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 1

\frac{1}{x} = 3

\frac{x - 6}{x + 9} = \frac{5}{8}

t + 1 + \frac{1}{t} = 0

\frac{21}{8.1} = \frac{105}{m}

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