Question

1/x-2 + 2/x-1 = 6/x​

Answer 1

Answer: x=3 or x=4/3

Step-by-step explanation:

Answer 2

Answer:

$x=\sqrt{\frac{13x}{3}-4}$

Step-by-step explanation:

$\frac{1}{x-2} + \frac{2}{x-1}=\frac{6}{x}$

$\frac{x-1+2x-4}{(x-2)*(x-1)}=\frac{6}{x}$

$\frac{3x -5}{x^{2} -3x+2} =\frac{6}{x}$

using cross multiply.

$6*(x^{2}-3x+2) = x*(3x-5)\\\\6x^{2} -18x+12=3x^{2} -5x\\\\6x^{2} -3x^{2} +12=-5x+18x\\\\3x^{2} +12 = 13x\\\\3(x^{2} +4)=13x\\\\x^{2} +4 = \frac{13x}{3} \\\\x^{2} = \frac{13x}{3}-4\\x=\sqrt{\frac{13x}{3}-4}$

Mark brainliest if it is right.