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D( x )
x-(1/5) = 0
x-(1/5) = 0
x-(1/5) = 0
x-1/5 = 0
x-1/5 = 0 // + 1/5
x = 1/5
x in (-oo:1/5) U (1/5:+oo)
(3*x^3-(7*x^2)-(9*x)-2)/(x-(1/5)) = 0
(3*x^3-7*x^2-9*x-2)/(x-1/5) = 0
3*x^3-7*x^2-9*x-2 = 0
3*x^3-7*x^2-9*x-2 = 0
{ 1, -1, 2, -2 }
1
x = 1
3*x^3-7*x^2-9*x-2 = -15
1
-1
x = -1
3*x^3-7*x^2-9*x-2 = -3
-1
2
x = 2
3*x^3-7*x^2-9*x-2 = -24
2
-2
x = -2
3*x^3-7*x^2-9*x-2 = -36
-2
{ 1/3, -1/3, -1/3, 1/3, 2/3, -2/3, -2/3, 2/3 }
1/3
x
1/3
3*x^3-7*x^2-9*x-2 = -5.66666667
1/3
-1/3
x
-1/3
3*x^3-7*x^2-9*x-2 = 0.11111111
-1/3
-1/3
x
-1/3
3*x^3-7*x^2-9*x-2 = 0.11111111
-1/3
1/3
x
1/3
3*x^3-7*x^2-9*x-2 = -5.66666667
1/3
2/3
x
2/3
3*x^3-7*x^2-9*x-2 = -10.22222222
2/3
-2/3
x
-2/3
3*x^3-7*x^2-9*x-2 = 0
-2/3
x+2/3
3*x^2-9*x-3
3*x^3-7*x^2-9*x-2
x+2/3
-3*x^3-2*x^2
-9*x^2-9*x-2
9*x^2+6*x
-3*x-2
3*x+2
0
3*x^2-9*x-3 = 0
DELTA = (-9)^2-(-3*3*4)
DELTA = 117
DELTA > 0
x = (117^(1/2)+9)/(2*3) or x = (9-117^(1/2))/(2*3)
x = (3*13^(1/2)+9)/6 or x = (9-3*13^(1/2))/6
x in { (9-3*13^(1/2))/6, (3*13^(1/2)+9)/6, -2/3}
(x-((9-3*13^(1/2))/6))*(x-((3*13^(1/2)+9)/6))*(x+2/3) = 0
((x-((9-3*13^(1/2))/6))*(x-((3*13^(1/2)+9)/6))*(x+2/3))/(x-1/5) = 0
( x+2/3 )
x+2/3 = 0 // - 2/3
x = -2/3
( x-((3*13^(1/2)+9)/6) )
x-((3*13^(1/2)+9)/6) = 0 // + (3*13^(1/2)+9)/6
x = (3*13^(1/2)+9)/6
( x-((9-3*13^(1/2))/6) )
x-((9-3*13^(1/2))/6) = 0 // + (9-3*13^(1/2))/6
x = (9-3*13^(1/2))/6
x in { -2/3, (3*13^(1/2)+9)/6, (9-3*13^(1/2))/6 }
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