What is the answer to 6/(x+1)= x/(x-1) ?

The answer to 6/(x+1)= x/(x-1) is x=3,x=2

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6/(x+1)= x/(x-1)

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

x = 3, x = 2

Solution steps

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

Cross multiply

6 (x - 1) = (x + 1) x

Solve

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

x = 3, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 3, x = 2

\frac{5 x + 4}{x + 2} = \frac{8 + 4 x}{x - 3}

\frac{x ^{2}}{16} = 1 + \frac{\frac{3}{4 x}}{9}

y, - \frac{y}{x} = - 1

\frac{6}{x} = x - 5

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

What is the answer to 6/(x+1)= x/(x-1) ?
The answer to 6/(x+1)= x/(x-1) is x=3,x=2
Solve for x: 6/(x+1)= x/(x-1)
The solution is x=3,x=2