What is the answer to (3x)/(x+1)=(12)/(x^2-1)+2 ?

The answer to (3x)/(x+1)=(12)/(x^2-1)+2 is x=5,x=-2

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(3x)/(x+1)=(12)/(x^2-1)+2

\frac{3 x}{x + 1} = \frac{12}{x ^{2} - 1} + 2

x = 5, x = - 2

Solution steps

\frac{3 x}{x + 1} = \frac{12}{x ^{2} - 1} + 2

Multiply by LCM

3 x (x - 1) = 12 + 2 (x + 1) (x - 1)

Solve

3 x (x - 1) = 12 + 2 (x + 1) (x - 1) : x = 5, x = - 2

x = 5, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 5, x = - 2

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

\frac{x ^{3}}{x + x + x} = 12

x + \frac{4}{x} = - 5

y, x = \frac{1}{y + 2}

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

What is the answer to (3x)/(x+1)=(12)/(x^2-1)+2 ?
The answer to (3x)/(x+1)=(12)/(x^2-1)+2 is x=5,x=-2
Solve for x: (3x)/(x+1)=(12)/(x^2-1)+2
The solution is x=5,x=-2