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D( x )
x^3-(4*x^2)-(9*x)+36 = 0
x^3-(4*x^2)-(9*x)+36 = 0
x^3-(4*x^2)-(9*x)+36 = 0
x^3-4*x^2-9*x+36 = 0
x^3-4*x^2-9*x+36 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }
1
x = 1
x^3-4*x^2-9*x+36 = 24
1
-1
x = -1
x^3-4*x^2-9*x+36 = 40
-1
2
x = 2
x^3-4*x^2-9*x+36 = 10
2
-2
x = -2
x^3-4*x^2-9*x+36 = 30
-2
3
x = 3
x^3-4*x^2-9*x+36 = 0
3
x-3
x^2-x-12
x^3-4*x^2-9*x+36
x-3
3*x^2-x^3
36-x^2-9*x
x^2-3*x
36-12*x
12*x-36
0
x^2-x-12 = 0
DELTA = (-1)^2-(-12*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+1)/(1*2) or x = (1-49^(1/2))/(1*2)
x = 4 or x = -3
x in { -3, 4, 3}
x in (-oo:-3) U (-3:3) U (3:4) U (4:+oo)
(x^4-81)/(x^3-(4*x^2)-(9*x)+36) = 0
(x^4-81)/(x^3-4*x^2-9*x+36) = 0
x^3-4*x^2-9*x+36 = 0
x^3-4*x^2-9*x+36 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }
1
x = 1
x^3-4*x^2-9*x+36 = 24
1
-1
x = -1
x^3-4*x^2-9*x+36 = 40
-1
2
x = 2
x^3-4*x^2-9*x+36 = 10
2
-2
x = -2
x^3-4*x^2-9*x+36 = 30
-2
3
x = 3
x^3-4*x^2-9*x+36 = 0
3
x-3
x^2-x-12
x^3-4*x^2-9*x+36
x-3
3*x^2-x^3
36-x^2-9*x
x^2-3*x
36-12*x
12*x-36
0
x^2-x-12 = 0
DELTA = (-1)^2-(-12*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+1)/(1*2) or x = (1-49^(1/2))/(1*2)
x = 4 or x = -3
x in { -3, 4, 3}
(x+3)*(x-4)*(x-3) = 0
(x^4-81)/((x+3)*(x-4)*(x-3)) = 0
1*x^4 = 81 // : 1
x^4 = 81
x^4 = 81 // ^ 1/4
abs(x) = 3
x = 3 or x = -3
x in { 3}
x in { -3}
x belongs to the empty set
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