X+4/x^2-4x-1/x=2-x-6/x-4​

Question

X+4/x^2-4x-1/x=2-x-6/x-4​

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Answer 1

Ответ: x= -2

Объяснение:

(x+4)/(x^2-4x)   -1/x =2- (x-6)/(x-4)

(x+4)/(x^2 -4x) - 1/x + (x-6)/(x-4) =2

(x+4)/(x*(x-4))   -1/x  +(x-6)/(x-4) =2

x+4-(x-4)+x*(x-6)/x*(x-4)  =2

x+4-x+4+x^2-6x/x*(x-4) =2

8+x^2-6x/x(x-4) =2

x^2-6x+8/x*(x-4) =2

x^2-2x-4x+8/x*(x-4) =2

x*(x-2)-4(x-2)/x*(x-4) =2

(x-2)*(x-4)/x*(x-4) =2

x-2/x =2

x-2=2x

x-2x=2

-x=2

x= -2

x= -2