(x^2-4)/x+2=0

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Solution for (x^2-4)/x+2=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^2-4)/x+2 = 0

(x^2-4)/x+(2*x)/x = 0

x^2+2*x-4 = 0

x^2+2*x-4 = 0

x^2+2*x-4 = 0

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

DELTA = 20

DELTA > 0

x = (20^(1/2)-2)/(1*2) or x = (-20^(1/2)-2)/(1*2)

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

(x-((-2*5^(1/2)-2)/2))*(x-((2*5^(1/2)-2)/2)) = 0

((x-((-2*5^(1/2)-2)/2))*(x-((2*5^(1/2)-2)/2)))/x = 0

((x-((-2*5^(1/2)-2)/2))*(x-((2*5^(1/2)-2)/2)))/x = 0 // * x

(x-((-2*5^(1/2)-2)/2))*(x-((2*5^(1/2)-2)/2)) = 0

( x-((-2*5^(1/2)-2)/2) )

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

x = (-2*5^(1/2)-2)/2

( x-((2*5^(1/2)-2)/2) )

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

x = (2*5^(1/2)-2)/2

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

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