Question

1/x-2 + 2/x-1 = 6/x x is not equal to 0, 1, 2 find x​

Answer 1

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

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

x(3x-5) = 6(x-2)(x-1)

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

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

13x-3x^2-12=0

3x^2-13x+12=0

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

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

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

So, x=4/3 or x=3

Answer 2

Step-by-step explanation:

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