What is the answer to x=1+(30)/x ?

The answer to x=1+(30)/x is x=6,x=-5

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x=1+(30)/x

x = 1 + \frac{30}{x}

x = 6, x = - 5

Solution steps

x = 1 + \frac{30}{x}

Multiply both sides by

x

x^{2} = x + 30

Solve

x^{2} = x + 30 : x = 6, x = - 5

x = 6, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 5

- 6 = - \frac{8}{x}

\frac{x - 3}{x - 2} = \frac{3}{2}

\frac{1}{12} = \frac{2}{x}

\frac{6}{x ^{2}} + \frac{7}{x} = 3

\frac{81}{9 x} = 0