Question

X+1/x -1 + x-2/x+1 = 3
find "x"

Answer 1

Answer:

Step-by-step explanation:

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

(x + 1)² + (x-1)(x -2)/(x-1)(x+1) = 3

x² + 2x + 1 + x²-2x -x +2/(x² - 1) = 3 [since (a+b)(a-b) = a² - b²]

2x²-x +3/(x² - 1)  = 3

2x²-x +3 = 3x² - 1

2x²-x +3 - 3x² + 1 = 0

- x²-x +6 = 0

-x²-3x +2x +6 = 0

(-x + 2)( x +3) = 0

x = 2 or x = -3