Question

(x-2)/(x+2)+6(x-2/x-6)=1​

Answer 1

Answers:-

x = 0

x = 2/3

Step-by-step explanation:-

Input:

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

Alternate form assuming x is real:

(x (3 x - 2))/((x - 6) (x + 2)) = 0

Alternate forms:

-4/(x + 2) + 24/(x - 6) + 7 = 1

((x - 2) (7 x + 6))/((x - 6) (x + 2)) = 1

Alternate form assuming x is positive:

16/(x - 6) + 3 = 0 (for x!=-2)

Expanded form:

(6 x)/(x - 6) + x/(x + 2) - 12/(x - 6) - 2/(x + 2) = 1

Solutions:

x = 0

x = 2/3

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