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

The answer to 2/(x-1)=x is x=2,x=-1

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2/(x-1)=x

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

x = 2, x = - 1

Solution steps

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

Multiply both sides by

x - 1

2 = x (x - 1)

Solve

2 = x (x - 1) : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2, x = - 1

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

\frac{1}{x - 2} + 3 = \frac{13}{x - 2}

\frac{2}{5} + \frac{1}{x} = 4

\frac{7}{x} = \frac{4}{9}

\frac{3}{x ^{5}} = 27