Question

({x+1}/{x-1})=({-3}/{x+3})+({8}/{x^2+2x-3})
find X

i factored, add but it seems i can't get the right answer.
please help

Answer 1

Solve for x over the real numbers:
x^2+2 x-3 = 0
Factor the left hand side.
The left hand side factors into a product with two terms:
(x-1) (x+3) = 0
Solve each term in the product separately.
Split into two equations:
x-1 = 0 or x+3 = 0
Look at the first equation: Solve for x.
Add 1 to both sides:
x = 1 or x+3 = 0
Look at the second equation: Solve for x.
Subtract 3 from both sides:
Answer: |
| x = 1 or x = -3

Answer 2

Hopefully I helped!

Answer 3

it marked me wrong, i guess the answer is neither 1 nor 0

Answer 4

assuming what @zKrup did was right , neither 1 nor -3 are solution, cause they are zeroes of denominators, i.e there is no real solution