Question

1/x-2 + 2/x-1 = 6/x
find the root​

Answer 1

Answer:

x=3,4/3

Step-by-step explanation:

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

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

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

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

3x^2-13x+12=0

by using factorization method, we get

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 or 3x-4=0

x=3,4/3

I hope this answer will help you

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