8+x-1/x+4

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Solution for 8+x-1/x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)+4+8 = 0

x-x^-1+4+8 = 0

1*x^1-1*x^-1+12*x^0 = 0

(1*x^2+12*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+12*x^1-1*x^0) = 0

x^1

x^2+12*x-1 = 0

x^2+12*x-1 = 0

DELTA = 12^2-(-1*1*4)

DELTA = 148

DELTA > 0

x = (148^(1/2)-12)/(1*2) or x = (-148^(1/2)-12)/(1*2)

x = (2*37^(1/2)-12)/2 or x = (-2*37^(1/2)-12)/2

x in { (-2*37^(1/2)-12)/2, (2*37^(1/2)-12)/2} 

x in { (-2*37^(1/2)-12)/2, (2*37^(1/2)-12)/2 }

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