x-2=8/x

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Solution for x-2=8/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

x-(8/x)-2 = 0

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

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

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

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

x^1

x^2-2*x-8 = 0

x^2-2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

x in { -2, 4} 

x in { -2, 4 }

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