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

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

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

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

x = 2

Solution steps

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

Simplify

\frac{x ^{2} + 3 x + 2}{x ^{2} - 1} : \frac{x + 2}{x - 1}

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

Multiply both sides by

x - 1

x + 2 = 4 (x - 1)

Expand

4 (x - 1) : 4 x - 4

x + 2 = 4 x - 4

Move

2

to the right side

x = 4 x - 6

Move

4 x

to the left side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 2

\frac{21 x ^{2} + 1}{x - 2} = 0

- \frac{42}{q + 9} = \frac{4}{2 q + 6}

\frac{- 2 x + 3}{x + 4} = 0

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

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

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