1/(x-1)(x-2) +1/(x-2)(x-3) +1/(x-3)(x-4) =1/6
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1/(x-1)(x-2) +1/(x-2)(x-3) +1/(x-3)(x-4) =1/6
Take LCM of (x-1) (x-2) (x-3) (x-4)
(x - 3) * (x - 4) + (x - 1) * (x - 4) + (x - 1) * (x - 2)/(x-1) (x-2) (x-3) (x-4) = 1/6
On further solving the equation by applying formula (x - a) (x - b) = x² -( a + b)* x +ab
And find the value of x.
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