x-4/x*x^2+2x/x^2-16

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Solution for x-4/x*x^2+2x/x^2-16 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

x-((4/x)*x^2)+(2*x)/(x^2)-16 = 0

x-4*x+(2*x)/(x^2)-16 = 0

2*x^-1-3*x^1-16*x^0 = 0

(2*x^0-3*x^2-16*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-3*x^2-16*x^1) = 0

x^1

2-3*x^2-16*x = 0

2-3*x^2-16*x = 0

DELTA = (-16)^2-(-3*2*4)

DELTA = 280

DELTA > 0

x = (280^(1/2)+16)/(-3*2) or x = (16-280^(1/2))/(-3*2)

x = (2*70^(1/2)+16)/(-6) or x = (16-2*70^(1/2))/(-6)

x in { (2*70^(1/2)+16)/(-6), (16-2*70^(1/2))/(-6)} 

x in { (2*70^(1/2)+16)/(-6), (16-2*70^(1/2))/(-6) }

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