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

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

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4/(x-2)=x+1

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

x = 3, x = - 2

Solution steps

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

Multiply both sides by

x - 2

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

Solve

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

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 3, x = - 2

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

y, \frac{x}{y} + 9 = n

(- 3)^{- 5} = \frac{1}{x}

\frac{x + 1}{2 x - 3} = \frac{5}{6}

2 F - G = \frac{D}{h}