Question

Please help me solve this question!

Answer 1

Answer:

x = -3/2

Step-by-step explanation:

3 / (x − 1) − 1 / (x² − 1) = 5 / (x − 1)

Subtract 3 / (x − 1) from both sides:

-1 / (x² − 1) = 5 / (x − 1) − 3 / (x − 1)

The denominators are the same, so subtract:

-1 / (x² − 1) = 2 / (x − 1)

Cross multiply:

-1 (x − 1) = 2 (x² − 1)

Simplify and solve:

-x + 1 = 2x² − 2

0 = 2x² + x − 3

0 = (x − 1) (2x + 3)

x = -3/2 or 1

x can't be 1 (can't divide by 0), so x = -3/2.