1/2x+8+5/x+4

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Solution for 1/2x+8+5/x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/2)*x+5/x+4+8 = 0

1/2*x^1+5*x^-1+12*x^0 = 0

(1/2*x^2+12*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2+12*x^1+5*x^0) = 0

x^1

(1/2)*x^2+12*x+5 = 0

(1/2)*x^2+12*x+5 = 0

DELTA = 12^2-(4*5*(1/2))

DELTA = 134

DELTA > 0

x = (134^(1/2)-12)/(2*(1/2)) or x = (-134^(1/2)-12)/(2*(1/2))

x = 134^(1/2)-12 or x = -(134^(1/2)+12)

x in { -(134^(1/2)+12), 134^(1/2)-12} 

x in { -(134^(1/2)+12), 134^(1/2)-12 }

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