x-2/x-8=6/x-8

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Solution for x-2/x-8=6/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x-(2/x)-8 = 6/x-8 // - 6/x-8

x-(2/x)-(6/x)-8+8 = 0

x-2*x^-1-6*x^-1-8+8 = 0

1*x^1-8*x^-1 = 0

(1*x^2-8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-8*x^0) = 0

x^1

x^2-8 = 0

x^2-8 = 0

DELTA = 0^2-(-8*1*4)

DELTA = 32

DELTA > 0

x = (32^(1/2)+0)/(1*2) or x = (0-32^(1/2))/(1*2)

x = 2*2^(1/2) or x = -2*2^(1/2)

x in { -2*2^(1/2), 2*2^(1/2)} 

x in { -2*2^(1/2), 2*2^(1/2) }

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