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D( x )
5*x+2 = 0
5*x+2 = 0
5*x+2 = 0
5*x+2 = 0 // - 2
5*x = -2 // : 5
x = -2/5
x in (-oo:-2/5) U (-2/5:+oo)
(10*x^3-(21*x^2)-(55*x)-18)/(5*x+2) = 0
(10*x^3-21*x^2-55*x-18)/(5*x+2) = 0
10*x^3-21*x^2-55*x-18 = 0
10*x^3-21*x^2-55*x-18 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }
1
x = 1
10*x^3-21*x^2-55*x-18 = -84
1
-1
x = -1
10*x^3-21*x^2-55*x-18 = 6
-1
2
x = 2
10*x^3-21*x^2-55*x-18 = -132
2
-2
x = -2
10*x^3-21*x^2-55*x-18 = -72
-2
3
x = 3
10*x^3-21*x^2-55*x-18 = -102
3
-3
x = -3
10*x^3-21*x^2-55*x-18 = -312
-3
6
x = 6
10*x^3-21*x^2-55*x-18 = 1056
6
-6
x = -6
10*x^3-21*x^2-55*x-18 = -2604
-6
9
x = 9
10*x^3-21*x^2-55*x-18 = 5076
9
-9
x = -9
10*x^3-21*x^2-55*x-18 = -8514
-9
18
x = 18
10*x^3-21*x^2-55*x-18 = 50508
18
-18
x = -18
10*x^3-21*x^2-55*x-18 = -64152
-18
{ 1/2, -1/2, 1/5, -1/5, 1/10, -1/10, -1/2, 1/2, -1/5, 1/5, -1/10, 1/10, 2/2, -2/2, 2/5, -2/5, 2/10, -2/10, -2/2, 2/2, -2/5, 2/5, -2/10, 2/10, 3/2, -3/2, 3/5, -3/5, 3/10, -3/10, -3/2, 3/2, -3/5, 3/5, -3/10, 3/10, 6/2, -6/2, 6/5, -6/5, 6/10, -6/10, -6/2, 6/2, -6/5, 6/5, -6/10, 6/10, 9/2, -9/2, 9/5, -9/5, 9/10, -9/10, -9/2, 9/2, -9/5, 9/5, -9/10, 9/10, 18/2, -18/2, 18/5, -18/5, 18/10, -18/10, -18/2, 18/2, -18/5, 18/5, -18/10, 18/10 }
1/2
x
1/2
10*x^3-21*x^2-55*x-18 = -49.5
1/2
-1/2
x
-1/2
10*x^3-21*x^2-55*x-18 = 3
-1/2
1/5
x
1/5
10*x^3-21*x^2-55*x-18 = -29.76
1/5
-1/5
x
-1/5
10*x^3-21*x^2-55*x-18 = -7.92
-1/5
1/10
x
1/10
10*x^3-21*x^2-55*x-18 = -23.7
1/10
-1/10
x
-1/10
10*x^3-21*x^2-55*x-18 = -12.72
-1/10
-1/2
x
-1/2
10*x^3-21*x^2-55*x-18 = 3
-1/2
1/2
x
1/2
10*x^3-21*x^2-55*x-18 = -49.5
1/2
-1/5
x
-1/5
10*x^3-21*x^2-55*x-18 = -7.92
-1/5
1/5
x
1/5
10*x^3-21*x^2-55*x-18 = -29.76
1/5
-1/10
x
-1/10
10*x^3-21*x^2-55*x-18 = -12.72
-1/10
1/10
x
1/10
10*x^3-21*x^2-55*x-18 = -23.7
1/10
2/2
x
2/2
10*x^3-21*x^2-55*x-18 = -84
2/2
-2/2
x
-2/2
10*x^3-21*x^2-55*x-18 = 6
-2/2
2/5
x
2/5
10*x^3-21*x^2-55*x-18 = -42.72
2/5
-2/5
x
-2/5
10*x^3-21*x^2-55*x-18 = 0
-2/5
x+2/5
10*x^2-25*x-45
10*x^3-21*x^2-55*x-18
x+2/5
-10*x^3-4*x^2
-25*x^2-55*x-18
25*x^2+10*x
-45*x-18
45*x+18
0
10*x^2-25*x-45 = 0
DELTA = (-25)^2-(-45*4*10)
DELTA = 2425
DELTA > 0
x = (2425^(1/2)+25)/(2*10) or x = (25-2425^(1/2))/(2*10)
x = (5*97^(1/2)+25)/20 or x = (25-5*97^(1/2))/20
x in { (25-5*97^(1/2))/20, (5*97^(1/2)+25)/20, -2/5}
(x-((25-5*97^(1/2))/20))*(x-((5*97^(1/2)+25)/20))*(x+2/5) = 0
((x-((25-5*97^(1/2))/20))*(x-((5*97^(1/2)+25)/20))*(x+2/5))/(5*x+2) = 0
( x+2/5 )
x+2/5 = 0 // - 2/5
x = -2/5
( x-((25-5*97^(1/2))/20) )
x-((25-5*97^(1/2))/20) = 0 // + (25-5*97^(1/2))/20
x = (25-5*97^(1/2))/20
( x-((5*97^(1/2)+25)/20) )
x-((5*97^(1/2)+25)/20) = 0 // + (5*97^(1/2)+25)/20
x = (5*97^(1/2)+25)/20
x in { -2/5}
x in { (25-5*97^(1/2))/20, (5*97^(1/2)+25)/20 }
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