x/2-6/x+2

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Solution for x/2-6/x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/2-(6/x)+2 = 0

x/2-6*x^-1+2 = 0

1/2*x^1-6*x^-1+2*x^0 = 0

(1/2*x^2+2*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2+2*x^1-6*x^0) = 0

x^1

(1/2)*x^2+2*x-6 = 0

(1/2)*x^2+2*x-6 = 0

DELTA = 2^2-(-6*4*(1/2))

DELTA = 16

DELTA > 0

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

x = 2 or x = -6

x in { -6, 2} 

x in { -6, 2 }

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