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

The answer to x+2= 4/(x-1) is x=2,x=-3

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x+2= 4/(x-1)

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

x = 2, x = - 3

Solution steps

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

Multiply both sides by

x - 1

x (x - 1) + 2 (x - 1) = 4

Solve

x (x - 1) + 2 (x - 1) = 4 : x = 2, x = - 3

x = 2, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2, x = - 3

\frac{9}{k - 7} = \frac{6}{k}

\frac{6}{x} = 3

\frac{1}{x - 1} + 5 = \frac{11}{x - 1}

\frac{x ^{2} + x}{x - 1} = 6

\frac{5 x - 1}{x - 9} = \frac{8}{3}