What is the answer to 1-2/(x-1)= 5/(x^2-1) ?

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

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1-2/(x-1)= 5/(x^2-1)

1 - \frac{2}{x - 1} = \frac{5}{x ^{2} - 1}

x = 4, x = - 2

Solution steps

1 - \frac{2}{x - 1} = \frac{5}{x ^{2} - 1}

Multiply by LCM

(x - 1) (x + 1) - 2 (x + 1) = 5

Solve

(x - 1) (x + 1) - 2 (x + 1) = 5 : x = 4, x = - 2

x = 4, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 4, x = - 2

\frac{x ^{2} + 2 x}{4 ( x + 1 ) ^{2}} = 0

\frac{x}{x + 6} \times 100 = 12

\frac{1}{x ^{2}} + \frac{4}{x} - 12 = 0

1 - \frac{7}{x - 9} = \frac{3 x}{x - 9}

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

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