x=96/x+4

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Solution for x=96/x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 96/x+4 // - 96/x+4

x-(96/x)-4 = 0

x-96*x^-1-4 = 0

1*x^1-96*x^-1-4*x^0 = 0

(1*x^2-4*x^1-96*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-4*x^1-96*x^0) = 0

x^1

x^2-4*x-96 = 0

x^2-4*x-96 = 0

DELTA = (-4)^2-(-96*1*4)

DELTA = 400

DELTA > 0

x = (400^(1/2)+4)/(1*2) or x = (4-400^(1/2))/(1*2)

x = 12 or x = -8

x in { -8, 12} 

x in { -8, 12 }

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