What is the answer to 1-2/(x-1)=(x+7)/(x^2-1) ?

The answer to 1-2/(x-1)=(x+7)/(x^2-1) is x=5,x=-2

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1-2/(x-1)=(x+7)/(x^2-1)

1 - \frac{2}{x - 1} = \frac{x + 7}{x ^{2} - 1}

x = 5, x = - 2

Solution steps

1 - \frac{2}{x - 1} = \frac{x + 7}{x ^{2} - 1}

Multiply by LCM

(x - 1) (x + 1) - 2 (x + 1) = x + 7

Solve

(x - 1) (x + 1) - 2 (x + 1) = x + 7 : 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{4}{a - 7} = \frac{- 2 a}{a + 3}

\frac{1}{x + 9} + \frac{18}{x ^{2} - 81} = 1

\frac{8 x ^{8} x ^{8} x ^{8} x ^{8}}{8 x ^{8}} = 8 x

1 + \frac{x}{x - 9} = \frac{1}{x - 9}

\frac{4 x ^{3}}{x ^{4} + 27} = 0

What is the answer to 1-2/(x-1)=(x+7)/(x^2-1) ?
The answer to 1-2/(x-1)=(x+7)/(x^2-1) is x=5,x=-2
Solve for x: 1-2/(x-1)=(x+7)/(x^2-1)
The solution is x=5,x=-2