x+x-2/x-16

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Solution for x+x-2/x-16 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+x-(2/x)-16 = 0

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

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

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

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

x^1

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

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

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

DELTA = 272

DELTA > 0

x = (272^(1/2)+16)/(2*2) or x = (16-272^(1/2))/(2*2)

x = (4*17^(1/2)+16)/4 or x = (16-4*17^(1/2))/4

x in { (16-4*17^(1/2))/4, (4*17^(1/2)+16)/4} 

x in { (16-4*17^(1/2))/4, (4*17^(1/2)+16)/4 }

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