Question

1/x-2 + 2/x-1 = 6/x​

Answer 1

Answer:

Let 1/x be p.

Thus equation can be written as:

p - 2 + 2p - 1= 6p

or, 3p - 3= 6p

or, 3p - 6p= 3

or, -3p= 3

or, p= -3/3

or, p= -1

Therefore x = 1/p =  -1/1 =  -1

Step-by-step explanation:

Answer 2

Answer:

$\frac{1}{x - 2} + \frac{2}{x - 1} = \frac{6}{x} \\ \\ \frac{x - 1 + 2(x - 2)}{(x - 2)(x - 1)} = \frac{6}{x} \\ \\ \frac{x - 1 - 2x - 4}{ {x}^{2} - x - 2x + 2 } = \frac{6}{x} \\ \\ \frac{ - x - 5}{ {x}^{2} - 3x + 2 } = \frac{6}{x} \\ \\ - {x }^{2} - 5x = 6 {x}^{2} - 18x + 12 \\ \\ - {x}^{2} - 5x - 6 {x}^{2} - 18x + 12 \\ \\ - 7 {x}^{2} - 23x + 12 \\ \\ 7 {x }^{2} + 23x - 12 = 0$

hope it help you.

Step-by-step explanation:

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