1/2x-8-3/x-4

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Solution for 1/2x-8-3/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/2)*x-(3/x)-8-4 = 0

(1/2)*x-3*x^-1-8-4 = 0

1/2*x^1-3*x^-1-12*x^0 = 0

(1/2*x^2-12*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2-12*x^1-3*x^0) = 0

x^1

(1/2)*x^2-12*x-3 = 0

(1/2)*x^2-12*x-3 = 0

DELTA = (-12)^2-(-3*4*(1/2))

DELTA = 150

DELTA > 0

x = (150^(1/2)+12)/(2*(1/2)) or x = (12-150^(1/2))/(2*(1/2))

x = 5*6^(1/2)+12 or x = 12-5*6^(1/2)

x in { 12-5*6^(1/2), 5*6^(1/2)+12} 

x in { 12-5*6^(1/2), 5*6^(1/2)+12 }

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