x-16=80/x

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Solution for x-16=80/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-16 = 80/x // - 80/x

x-(80/x)-16 = 0

x-80*x^-1-16 = 0

1*x^1-80*x^-1-16*x^0 = 0

(1*x^2-16*x^1-80*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-16*x^1-80*x^0) = 0

x^1

x^2-16*x-80 = 0

x^2-16*x-80 = 0

DELTA = (-16)^2-(-80*1*4)

DELTA = 576

DELTA > 0

x = (576^(1/2)+16)/(1*2) or x = (16-576^(1/2))/(1*2)

x = 20 or x = -4

x in { -4, 20} 

x in { -4, 20 }

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