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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
36*x^2-(14/x) = 61 // - 61
36*x^2-(14/x)-61 = 0
36*x^2-14*x^-1-61 = 0
36*x^2-14*x^-1-61*x^0 = 0
(36*x^3-61*x^1-14*x^0)/(x^1) = 0 // * x^2
x^1*(36*x^3-61*x^1-14*x^0) = 0
x^1
36*x^3-61*x-14 = 0
{ 1, -1, 2, -2, 7, -7, 14, -14 }
1
x = 1
36*x^3-61*x-14 = -39
1
-1
x = -1
36*x^3-61*x-14 = 11
-1
2
x = 2
36*x^3-61*x-14 = 152
2
-2
x = -2
36*x^3-61*x-14 = -180
-2
7
x = 7
36*x^3-61*x-14 = 11907
7
-7
x = -7
36*x^3-61*x-14 = -11935
-7
14
x = 14
36*x^3-61*x-14 = 97916
14
-14
x = -14
36*x^3-61*x-14 = -97944
-14
{ 1/2, -1/2, 1/3, -1/3, 1/4, -1/4, 1/6, -1/6, 1/9, -1/9, 1/12, -1/12, 1/18, -1/18, 1/36, -1/36, -1/2, 1/2, -1/3, 1/3, -1/4, 1/4, -1/6, 1/6, -1/9, 1/9, -1/12, 1/12, -1/18, 1/18, -1/36, 1/36, 2/2, -2/2, 2/3, -2/3, 2/4, -2/4, 2/6, -2/6, 2/9, -2/9, 2/12, -2/12, 2/18, -2/18, 2/36, -2/36, -2/2, 2/2, -2/3, 2/3, -2/4, 2/4, -2/6, 2/6, -2/9, 2/9, -2/12, 2/12, -2/18, 2/18, -2/36, 2/36, 7/2, -7/2, 7/3, -7/3, 7/4, -7/4, 7/6, -7/6, 7/9, -7/9, 7/12, -7/12, 7/18, -7/18, 7/36, -7/36, -7/2, 7/2, -7/3, 7/3, -7/4, 7/4, -7/6, 7/6, -7/9, 7/9, -7/12, 7/12, -7/18, 7/18, -7/36, 7/36, 14/2, -14/2, 14/3, -14/3, 14/4, -14/4, 14/6, -14/6, 14/9, -14/9, 14/12, -14/12, 14/18, -14/18, 14/36, -14/36, -14/2, 14/2, -14/3, 14/3, -14/4, 14/4, -14/6, 14/6, -14/9, 14/9, -14/12, 14/12, -14/18, 14/18, -14/36, 14/36 }
1/2
x
1/2
36*x^3-61*x-14 = -40
1/2
-1/2
x
-1/2
36*x^3-61*x-14 = 12
-1/2
1/3
x
1/3
36*x^3-61*x-14 = -33
1/3
-1/3
x
-1/3
36*x^3-61*x-14 = 5
-1/3
1/4
x
1/4
36*x^3-61*x-14 = -28.6875
1/4
-1/4
x
-1/4
36*x^3-61*x-14 = 0.6875
-1/4
1/6
x
1/6
36*x^3-61*x-14 = -24
1/6
-1/6
x
-1/6
36*x^3-61*x-14 = -4
-1/6
1/9
x
1/9
36*x^3-61*x-14 = -20.72839506
1/9
-1/9
x
-1/9
36*x^3-61*x-14 = -7.27160494
-1/9
1/12
x
1/12
36*x^3-61*x-14 = -19.0625
1/12
-1/12
x
-1/12
36*x^3-61*x-14 = -8.9375
-1/12
1/18
x
1/18
36*x^3-61*x-14 = -17.38271605
1/18
-1/18
x
-1/18
36*x^3-61*x-14 = -10.61728395
-1/18
1/36
x
1/36
36*x^3-61*x-14 = -15.69367284
1/36
-1/36
x
-1/36
36*x^3-61*x-14 = -12.30632716
-1/36
-1/2
x
-1/2
36*x^3-61*x-14 = 12
-1/2
1/2
x
1/2
36*x^3-61*x-14 = -40
1/2
-1/3
x
-1/3
36*x^3-61*x-14 = 5
-1/3
1/3
x
1/3
36*x^3-61*x-14 = -33
1/3
-1/4
x
-1/4
36*x^3-61*x-14 = 0.6875
-1/4
1/4
x
1/4
36*x^3-61*x-14 = -28.6875
1/4
-1/6
x
-1/6
36*x^3-61*x-14 = -4
-1/6
1/6
x
1/6
36*x^3-61*x-14 = -24
1/6
-1/9
x
-1/9
36*x^3-61*x-14 = -7.27160494
-1/9
1/9
x
1/9
36*x^3-61*x-14 = -20.72839506
1/9
-1/12
x
-1/12
36*x^3-61*x-14 = -8.9375
-1/12
1/12
x
1/12
36*x^3-61*x-14 = -19.0625
1/12
-1/18
x
-1/18
36*x^3-61*x-14 = -10.61728395
-1/18
1/18
x
1/18
36*x^3-61*x-14 = -17.38271605
1/18
-1/36
x
-1/36
36*x^3-61*x-14 = -12.30632716
-1/36
1/36
x
1/36
36*x^3-61*x-14 = -15.69367284
1/36
2/2
x
2/2
36*x^3-61*x-14 = -39
2/2
-2/2
x
-2/2
36*x^3-61*x-14 = 11
-2/2
2/3
x
2/3
36*x^3-61*x-14 = -44
2/3
-2/3
x
-2/3
36*x^3-61*x-14 = 16
-2/3
2/4
x
2/4
36*x^3-61*x-14 = -40
2/4
-2/4
x
-2/4
36*x^3-61*x-14 = 12
-2/4
2/6
x
2/6
36*x^3-61*x-14 = -33
2/6
-2/6
x
-2/6
36*x^3-61*x-14 = 5
-2/6
2/9
x
2/9
36*x^3-61*x-14 = -27.16049383
2/9
-2/9
x
-2/9
36*x^3-61*x-14 = -0.83950617
-2/9
2/12
x
2/12
36*x^3-61*x-14 = -24
2/12
-2/12
x
-2/12
36*x^3-61*x-14 = -4
-2/12
2/18
x
2/18
36*x^3-61*x-14 = -20.72839506
2/18
-2/18
x
-2/18
36*x^3-61*x-14 = -7.27160494
-2/18
2/36
x
2/36
36*x^3-61*x-14 = -17.38271605
2/36
-2/36
x
-2/36
36*x^3-61*x-14 = -10.61728395
-2/36
-2/2
x
-2/2
36*x^3-61*x-14 = 11
-2/2
2/2
x
2/2
36*x^3-61*x-14 = -39
2/2
-2/3
x
-2/3
36*x^3-61*x-14 = 16
-2/3
2/3
x
2/3
36*x^3-61*x-14 = -44
2/3
-2/4
x
-2/4
36*x^3-61*x-14 = 12
-2/4
2/4
x
2/4
36*x^3-61*x-14 = -40
2/4
-2/6
x
-2/6
36*x^3-61*x-14 = 5
-2/6
2/6
x
2/6
36*x^3-61*x-14 = -33
2/6
-2/9
x
-2/9
36*x^3-61*x-14 = -0.83950617
-2/9
2/9
x
2/9
36*x^3-61*x-14 = -27.16049383
2/9
-2/12
x
-2/12
36*x^3-61*x-14 = -4
-2/12
2/12
x
2/12
36*x^3-61*x-14 = -24
2/12
-2/18
x
-2/18
36*x^3-61*x-14 = -7.27160494
-2/18
2/18
x
2/18
36*x^3-61*x-14 = -20.72839506
2/18
-2/36
x
-2/36
36*x^3-61*x-14 = -10.61728395
-2/36
2/36
x
2/36
36*x^3-61*x-14 = -17.38271605
2/36
7/2
x
7/2
36*x^3-61*x-14 = 1316
7/2
-7/2
x
-7/2
36*x^3-61*x-14 = -1344
-7/2
7/3
x
7/3
36*x^3-61*x-14 = 301
7/3
-7/3
x
-7/3
36*x^3-61*x-14 = -329
-7/3
7/4
x
7/4
36*x^3-61*x-14 = 72.1875
7/4
-7/4
x
-7/4
36*x^3-61*x-14 = -100.1875
-7/4
7/6
x
7/6
36*x^3-61*x-14 = -28
7/6
-7/6
x
-7/6
36*x^3-61*x-14 = 0
-7/6
x+7/6
36*x^2-42*x-12
36*x^3-61*x-14
x+7/6
-36*x^3-42*x^2
-42*x^2-61*x-14
42*x^2+49*x
-12*x-14
12*x+14
0
36*x^2-42*x-12 = 0
DELTA = (-42)^2-(-12*4*36)
DELTA = 3492
DELTA > 0
x = (3492^(1/2)+42)/(2*36) or x = (42-3492^(1/2))/(2*36)
x = (6*97^(1/2)+42)/72 or x = (42-6*97^(1/2))/72
x in { (42-6*97^(1/2))/72, (6*97^(1/2)+42)/72, -7/6}
x in { (42-6*97^(1/2))/72, (6*97^(1/2)+42)/72, -7/6 }
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