x-8/x=-2

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


D( x )

x = 0

x = 0

x = 0

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

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

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 = (-36^(1/2)-2)/(1*2)

x = 2 or x = -4

x in { -4, 2} 

x in { -4, 2 }

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