Question

If x/(x-1)(x-2)=a/(x-1) + b/(x-2) then value of a and b

Answer 1

Answer:

b=14/3  and a= -8/3

Step-by-step explanation:

we know that x≠1,2,

So, put any other constant in the function given,i.e,

f(x)=x/(x-1)(x-2) = a/(x-1) + b(x-2).

I substituded for x=3, 4,

Then with the help of 2 equations , i found a and b by substitution method.

Final answer is a= -8/3 , b=14/3

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