What is the answer to 6/x-5=x ?

The answer to 6/x-5=x is x=1,x=-6

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6/x-5=x

\frac{6}{x} - 5 = x

x = 1, x = - 6

Solution steps

\frac{6}{x} - 5 = x

Multiply both sides by

x

6 - 5 x = x^{2}

Solve

6 - 5 x = x^{2} : x = 1, x = - 6

x = 1, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 6

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

\frac{4}{y} = \frac{1}{3}

1 - \frac{2}{m} = \frac{8}{m ^{2}}

2 x - 6 = \frac{7}{x}

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