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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^2+5/x+2 = (5*(x+1))/x // - (5*(x+1))/x
x^2-((5*(x+1))/x)+5/x+2 = 0
x^2-5*x^-1*(x+1)+5/x+2 = 0
(-5*x^-1*x*(x+1))/x+(x*x^2)/x+5/x+(2*x)/x = 0
x*x^2-5*x^-1*x*(x+1)+2*x+5 = 0
x^3-5*x+2*x-5+5 = 0
x^3-5*x+2*x = 0
x^3-3*x = 0
x^3-3*x = 0
x*(x^2-3) = 0
1*x^2 = 3 // : 1
x^2 = 3
x^2 = 3 // ^ 1/2
abs(x) = 3^(1/2)
x = 3^(1/2) or x = -3^(1/2)
x*(x-3^(1/2))*(x+3^(1/2)) = 0
(x*(x-3^(1/2))*(x+3^(1/2)))/x = 0
(x*(x-3^(1/2))*(x+3^(1/2)))/x = 0 // * x
x*(x-3^(1/2))*(x+3^(1/2)) = 0
( x+3^(1/2) )
x+3^(1/2) = 0 // - 3^(1/2)
x = -3^(1/2)
( x-3^(1/2) )
x-3^(1/2) = 0 // + 3^(1/2)
x = 3^(1/2)
( x )
x = 0
x in { 0}
x in { -3^(1/2), 3^(1/2) }
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