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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
x^2+x+3/x+9/(x^2) = 14 // - 14
x^2+x+3/x+9/(x^2)-14 = 0
1*x^2+1*x^1+3*x^-1+9*x^-2-14*x^0 = 0
(1*x^4+1*x^3-14*x^2+3*x^1+9*x^0)/(x^2) = 0 // * x^4
x^2*(1*x^4+1*x^3-14*x^2+3*x^1+9*x^0) = 0
x^2
x^4+x^3-14*x^2+3*x+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
x^4+x^3-14*x^2+3*x+9 = 0
1
x-1
x^3+2*x^2-12*x-9
x^4+x^3-14*x^2+3*x+9
x-1
x^3-x^4
2*x^3-14*x^2+3*x+9
2*x^2-2*x^3
3*x-12*x^2+9
12*x^2-12*x
9-9*x
9*x-9
0
x^3+2*x^2-12*x-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
x^3+2*x^2-12*x-9 = -18
1
-1
x = -1
x^3+2*x^2-12*x-9 = 4
-1
3
x = 3
x^3+2*x^2-12*x-9 = 0
3
x-3
x^2+5*x+3
x^3+2*x^2-12*x-9
x-3
3*x^2-x^3
5*x^2-12*x-9
15*x-5*x^2
3*x-9
9-3*x
0
x^2+5*x+3 = 0
DELTA = 5^2-(1*3*4)
DELTA = 13
DELTA > 0
x = (13^(1/2)-5)/(1*2) or x = (-13^(1/2)-5)/(1*2)
x = (13^(1/2)-5)/2 or x = (-(13^(1/2)+5))/2
x in { (-(13^(1/2)+5))/2, (13^(1/2)-5)/2, 1, 3}
x in { (-(13^(1/2)+5))/2, (13^(1/2)-5)/2, 1, 3 }
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