Question

(1/x-2) +2/x-1=6/x factrisation find roots

Answer 1

Step-by-step explanation:

1(x-1)+2(x-2)/(x-2)(x-1)=6/x

x-1+2x-4/(x^2-x-2x+2)=6/x

3x-5/x^2-3x+2=6/x

x(3x-5)=6(x^2-3x+2)

3x^2-5x=6x^2-18x+12

6x^2-18x+12-3x^2+5x=0

3x^2-13x+12=0

3x^2-9x-4x+12=0

3x(x-3)-4(x-3)=0

(x-3)(3x-4)=0

(x-3)=0 , (3x-4)=0

x=3 , 3x=4

x=4/3

x = 3,4/3