What is the answer to 1/a =a ?

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

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1/a =a

\frac{1}{a} = a

a = 1, a = - 1

Solution steps

\frac{1}{a} = a

Multiply both sides by

a

1 = a^{2}

Solve

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

a = 1, a = - 1

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 1, a = - 1

0.125 = \frac{b + 6}{b - 8}

\frac{30}{x} = \frac{8}{12}

\frac{606}{x - 97} = 8

36 (\frac{n}{n + 1}) = n^{2} + n

\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0