Question

Solve the following quadratic equations by factorization:(1/x-2)+(2/x-1)=6/x,x≠0

Answer 1

done...

hope it helps you...!

Answer 2

x = +3 or +4/3

Step-by-step explanation:

x≠0

1/(x-2) + 2/(x-1) = 6/x

x [ (x-1) + 2(x-2)] = 6 (x-1)(x-2)

x (3x -5) = 6 (x²-3x +2)

3x² -5x = 6x² -18x + 12

3x² -13x + 12 = 0

3x² -9x -4x + 12 = 0

3x (x -3) -4(x - 3) = 0

(3x -4) (x-3) = 0

Therefore x = +3 or +4/3