Question

x-1/x+2 + x-3/x-2= 11/8
find Roots

​

Answer 1

Answer:

x = 6

x = 2/5

Step-by-step explanation:

x-1 / x+2 + x-3 / x-2 = 11 / 8

((x-1)(x-2) + (x-3)(x+2)) / (x+2)(x-2) = 11 / 8

x² - 3x + 2 + x² - x - 6 = 11(x²-4) / 8

2x² - 4x - 4 = 11(x²-4) / 8

16x² - 32x - 32 = 11x² - 44

16x² - 32x - 32 - 11x² + 44 = 0

5x² - 32x + 12 = 0

(5x - 30)(5x - 2 )/5 = 0

5(x-6)(5x-2) / 5 = 0

(x-6)(5x-2) = 0

x - 6 = 0

x = 6

5x - 2 = 0

5x = 2

x = 2/5