What is the answer to (4x+1)/(x+1)=(12)/(x^2-1)+3 ?

The answer to (4x+1)/(x+1)=(12)/(x^2-1)+3 is x=5,x=-2

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(4x+1)/(x+1)=(12)/(x^2-1)+3

\frac{4 x + 1}{x + 1} = \frac{12}{x ^{2} - 1} + 3

x = 5, x = - 2

Solution steps

\frac{4 x + 1}{x + 1} = \frac{12}{x ^{2} - 1} + 3

Multiply by LCM

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

Solve

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

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

\frac{2 x + 1}{x + 5} = \frac{3 x - 1}{x + 7}

\frac{7}{x + 8} = - 1

x - \frac{1}{x + 7} = \frac{7}{x + 7}

\frac{54}{2 f} = 3

What is the answer to (4x+1)/(x+1)=(12)/(x^2-1)+3 ?
The answer to (4x+1)/(x+1)=(12)/(x^2-1)+3 is x=5,x=-2
Solve for x: (4x+1)/(x+1)=(12)/(x^2-1)+3
The solution is x=5,x=-2