What is the answer to 1/(x+2)-3/(x-1)=5 ?

The answer to 1/(x+2)-3/(x-1)=5 is x=(-7+sqrt(109))/(10),x=(-7-sqrt(109))/(10)

Solve for x: 1/(x+2)-3/(x-1)=5

The solution is x=(-7+sqrt(109))/(10),x=(-7-sqrt(109))/(10)

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

x = \frac{- 7 + 109}{10}, x = \frac{- 7 - 109}{10}

Decimal Notation

x = 0.34403 \dots, x = - 1.74403 \dots

Solution steps

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

Multiply by LCM

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

Solve

x - 1 - 3 (x + 2) = 5 (x + 2) (x - 1) : x = \frac{- 7 + 109}{10}, x = \frac{- 7 - 109}{10}

x = \frac{- 7 + 109}{10}, x = \frac{- 7 - 109}{10}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 1

Combine undefined points with solutions:

x = \frac{- 7 + 109}{10}, x = \frac{- 7 - 109}{10}

\frac{a}{c} = \frac{d}{r}

\frac{a x + b}{c x + d} = 7, x

b, a = \frac{7 d}{c + b}

\frac{4}{x + 4} = \frac{8}{2 x + 8} - 3

\frac{6 x + 8}{5 x} = x

What is the answer to 1/(x+2)-3/(x-1)=5 ?
The answer to 1/(x+2)-3/(x-1)=5 is x=(-7+sqrt(109))/(10),x=(-7-sqrt(109))/(10)
Solve for x: 1/(x+2)-3/(x-1)=5
The solution is x=(-7+sqrt(109))/(10),x=(-7-sqrt(109))/(10)