1x 1 1x 3 34Solution1x1 1x3 34 Taking product of denom

Solution

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

Taking product of denominators as LCD:

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

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

4(2x -4) = 3(x-1)(x-3)

= 3( x^2 -4x +3)

8x -16 = 3x^2 -12x +9

3x^2 - 20x +25 =0

Solve the quadratic equation by factoriosation:

3x^2 -15x -5x +25 =0

3x( x-5) -5( x-5) =0

(3x -5)( x-5 ) =0

3x-5=0

x = 5/3

x-5 =0

x =5

Solution: x = 5/2 , 5