What is the answer to (x^2)/(x-1)=4 ?

The answer to (x^2)/(x-1)=4 is x=2

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(x^2)/(x-1)=4

\frac{x ^{2}}{x - 1} = 4

x = 2

Solution steps

\frac{x ^{2}}{x - 1} = 4

Multiply both sides by

x - 1

x^{2} = 4 (x - 1)

Solve

x^{2} = 4 (x - 1) : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

\frac{x}{2 x - 3} = \frac{3}{5}

\frac{x - 2}{3 - x} = \frac{- 5}{4}

\frac{1}{x + 4} + 4 = \frac{21}{x + 4}

\frac{6}{6 b + 7} = \frac{2}{b - 7}

0 = \frac{4}{x ^{2} + 1}