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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^3-(4*x)+3/x = 0
x^3-4*x+3/x = 0
1*x^3-4*x^1+3*x^-1 = 0
(1*x^4-4*x^2+3*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^4-4*x^2+3*x^0) = 0
x^1
x^4-4*x^2+3 = 0
{ 1, -1, 3, -3 }
1
x = 1
x^4-4*x^2+3 = 0
1
x-1
x^3+x^2-3*x-3
x^4-4*x^2+3
x-1
x^3-x^4
x^3-4*x^2+3
x^2-x^3
3-3*x^2
3*x^2-3*x
3-3*x
3*x-3
0
x^3+x^2-3*x-3 = 0
{ 1, -1, 3, -3 }
1
x = 1
x^3+x^2-3*x-3 = -4
1
-1
x = -1
x^3+x^2-3*x-3 = 0
-1
x+1
x^2-3
x^3+x^2-3*x-3
x+1
-x^3-x^2
-3*x-3
3*x+3
0
x^2-3 = 0
DELTA = 0^2-(-3*1*4)
DELTA = 12
DELTA > 0
x = (12^(1/2)+0)/(1*2) or x = (0-12^(1/2))/(1*2)
x = 3^(1/2) or x = -3^(1/2)
x in { -3^(1/2), 3^(1/2), 1, -1}
x in { -3^(1/2), 3^(1/2), 1, -1 }
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