What is the answer to (x+1)/(x-2)=x-3 ?

The answer to (x+1)/(x-2)=x-3 is x=5,x=1

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(x+1)/(x-2)=x-3

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

x = 5, x = 1

Solution steps

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

Multiply both sides by

x - 2

x + 1 = x (x - 2) - 3 (x - 2)

Solve

x + 1 = x (x - 2) - 3 (x - 2) : x = 5, x = 1

x = 5, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 5, x = 1

x^{- 3} = 64

\frac{2 x ^{2} + 9 x - 5}{x ^{4} + 1} = 0

\frac{- 5}{x - 5} + \frac{2}{x + 9} = 1

\frac{10}{2} = \frac{100}{r}

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

What is the answer to (x+1)/(x-2)=x-3 ?
The answer to (x+1)/(x-2)=x-3 is x=5,x=1
Solve for x: (x+1)/(x-2)=x-3
The solution is x=5,x=1