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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^3-(15*x)-(225/x) = x // - x
x^3-(15*x)-x-(225/x) = 0
x^3-15*x-x-225*x^-1 = 0
1*x^3-16*x^1-225*x^-1 = 0
(1*x^4-16*x^2-225*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^4-16*x^2-225*x^0) = 0
x^1
x^4-16*x^2-225 = 0
{ 1, -1, 3, -3, 5, -5, 9, -9, 15, -15, 25, -25, 45, -45, 75, -75, 225, -225 }
1
x = 1
x^4-16*x^2-225 = -240
1
-1
x = -1
x^4-16*x^2-225 = -240
-1
3
x = 3
x^4-16*x^2-225 = -288
3
-3
x = -3
x^4-16*x^2-225 = -288
-3
5
x = 5
x^4-16*x^2-225 = 0
5
x-5
x^3+5*x^2+9*x+45
x^4-16*x^2-225
x-5
5*x^3-x^4
5*x^3-16*x^2-225
25*x^2-5*x^3
9*x^2-225
45*x-9*x^2
45*x-225
225-45*x
0
x^3+5*x^2+9*x+45 = 0
{ 1, -1, 3, -3, 5, -5, 9, -9, 15, -15, 45, -45 }
1
x = 1
x^3+5*x^2+9*x+45 = 60
1
-1
x = -1
x^3+5*x^2+9*x+45 = 40
-1
3
x = 3
x^3+5*x^2+9*x+45 = 144
3
-3
x = -3
x^3+5*x^2+9*x+45 = 36
-3
5
x = 5
x^3+5*x^2+9*x+45 = 340
5
-5
x = -5
x^3+5*x^2+9*x+45 = 0
-5
x+5
x^2+9
x^3+5*x^2+9*x+45
x+5
-x^3-5*x^2
9*x+45
-9*x-45
0
x^2+9 = 0
DELTA = 0^2-(1*4*9)
DELTA = -36
DELTA < 0
x in { 5, -5}
x in { 5, -5 }
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