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

The answer to (x+2)/(x-1)=(3x)/(x+1) is x=-(-3+sqrt(13))/2 ,x=(3+sqrt(13))/2

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

The solution is x=-(-3+sqrt(13))/2 ,x=(3+sqrt(13))/2

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

x = - \frac{- 3 + 13}{2}, x = \frac{3 + 13}{2}

Decimal

x = - 0.30277 \dots, x = 3.30277 \dots

Solution steps

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

Cross multiply

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

Solve

(x + 2) (x + 1) = (x - 1) \cdot 3 x : x = - \frac{- 3 + 13}{2}, x = \frac{3 + 13}{2}

x = - \frac{- 3 + 13}{2}, x = \frac{3 + 13}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = - \frac{- 3 + 13}{2}, x = \frac{3 + 13}{2}

\frac{4}{2 x + 1} + \frac{1}{4 x ^{2} - 1} = 3

\frac{1}{x ^{2} - 8 x} + \frac{6 x}{x - 8} = - 1

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6}

\frac{600}{300 + x} = \frac{400}{300 - x}

\frac{3}{4 ( 2 x - 3 )} = 1

What is the answer to (x+2)/(x-1)=(3x)/(x+1) ?
The answer to (x+2)/(x-1)=(3x)/(x+1) is x=-(-3+sqrt(13))/2 ,x=(3+sqrt(13))/2
Solve for x: (x+2)/(x-1)=(3x)/(x+1)
The solution is x=-(-3+sqrt(13))/2 ,x=(3+sqrt(13))/2