Question

solve x+1/x-1+x-3/x+2=4-2x+3/x-2​

Answer 1

Answer:

-5, 6/5

Step-by-step explanation:

Given Solve for x; x+1/x-1+x-2/x+2=4-2x+3/x-2,x not equal to -2,2

  x + 1 / x - 1  + x - 2 / x + 2 = 4 -  2x + 3 / x - 2

  taking lcm we get

(x + 2)(x + 1) + (x - 1)(x - 2) / (x -1) ( x + 2) = 4(x - 2) - (2 x + 3) / x - 2

x ^2 + 3 x + 2 + x^2 - x - 2 x + 2 / x^2 + x - 2 = 2 x - 11 / x - 2 = 2 x - 11 /  x - 2

2 x^2 + 4 / x ^2 + x - 2 = 2 x - 11 / x - 2

2 x^3 - 4 x^2 + 4 x - 8 = 2 x^3 + 2 x ^2 - 4 x - 11 x^2 - 11 x + 22

5 x ^2 + 19 x - 30 = 0

5 x^2 + 25 x - 6 x - 30 = 0

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

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

x + 5 = 0, 5 x + 6 = 0

x = - 5 ,  x = 6 / 5