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D( x )
x^3-(5*x^2)-(9*x)+45 = 0
x^3-(5*x^2)-(9*x)+45 = 0
x^3-(5*x^2)-(9*x)+45 = 0
x^3-5*x^2-9*x+45 = 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 = 32
1
-1
x = -1
x^3-5*x^2-9*x+45 = 48
-1
3
x = 3
x^3-5*x^2-9*x+45 = 0
3
x-3
x^2-2*x-15
x^3-5*x^2-9*x+45
x-3
3*x^2-x^3
45-2*x^2-9*x
2*x^2-6*x
45-15*x
15*x-45
0
x^2-2*x-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)
x = 5 or x = -3
x in { -3, 5, 3}
x in (-oo:-3) U (-3:3) U (3:5) U (5:+oo)
(4*x+9)/(x^3-(5*x^2)-(9*x)+45) = 0
(4*x+9)/(x^3-5*x^2-9*x+45) = 0
x^3-5*x^2-9*x+45 = 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 = 32
1
-1
x = -1
x^3-5*x^2-9*x+45 = 48
-1
3
x = 3
x^3-5*x^2-9*x+45 = 0
3
x-3
x^2-2*x-15
x^3-5*x^2-9*x+45
x-3
3*x^2-x^3
45-2*x^2-9*x
2*x^2-6*x
45-15*x
15*x-45
0
x^2-2*x-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)
x = 5 or x = -3
x in { -3, 5, 3}
(x+3)*(x-5)*(x-3) = 0
(4*x+9)/((x+3)*(x-5)*(x-3)) = 0
4*x+9 = 0 // - 9
4*x = -9 // : 4
x = -9/4
x = -9/4
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