3/x + 4/(x+1)=2 হলে, x এর মান কত?

3/x + 4/(x+1)=2 হলে, x এর মান কত?

A 1

B 2

C 3

D 4

Solution

Correct Answer: Option C

3/x + 4/(x+1)=2

=> {3(x+1) + 4x }/x(x+1) = 2

=> {3x + 3 + 4x} = 2 (x2+ x)

=> 7x + 3 = 2x2+ 2x

=> 2x2 - 5x - 3 = 0

=> 2x2 - 6x + x -3 =0

=> 2x(x-3) + 1(x-3) = 0

=> (2x +1) (x-3) = 0