Question

;x : ( 1)/( ( x - 1) ( x - 2) ) + ( 1)/( ( x - 2) ( x - 3) ) = ( 2)/( 3)

Answer 1

the final quadratic equation is
2x²-8x+3=0
using
x={-b±√(b²-4ac)}/2a

x=2±1.58
x=3.58. or. x=0.42


if answer doesn't tally, do tell me

Answer 2

Answer:

0,4

Step-by-step explanation:

1/(x−1)(x−2)+1/(x−2)(x−3)=2/3

LCM of LHS

(x−1+x−3)/(x−1)(x−2)(x−3)=2/3

2(x−2)/(x−1)(x−2)(x−3)=2/3

2 & (x-2) cancel out

1/(x−1)(x−3)=1/3

(x−1)(x−3)=3

x2–4x=0

x(x−4)=0

x=0 or 4