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x in (-oo:+oo)
x^3-(3*x) = 46/27 // - 46/27
x^3-(3*x)-(46/27) = 0
x^3-3*x-46/27 = 0
x^3-3*x-46/27 = 0
x^3-3*x-46/27 = 0 // * 0
{ 1, -1, 2, -2, 23, -23, 46, -46 }
1
x = 1
27*x^3-81*x-46 = -100
1
-1
x = -1
27*x^3-81*x-46 = 8
-1
2
x = 2
27*x^3-81*x-46 = 8
2
-2
x = -2
27*x^3-81*x-46 = -100
-2
23
x = 23
27*x^3-81*x-46 = 326600
23
-23
x = -23
27*x^3-81*x-46 = -326692
-23
46
x = 46
27*x^3-81*x-46 = 2624300
46
-46
x = -46
27*x^3-81*x-46 = -2624392
-46
{ 1/3, -1/3, 1/9, -1/9, 1/27, -1/27, -1/3, 1/3, -1/9, 1/9, -1/27, 1/27, 2/3, -2/3, 2/9, -2/9, 2/27, -2/27, -2/3, 2/3, -2/9, 2/9, -2/27, 2/27, 23/3, -23/3, 23/9, -23/9, 23/27, -23/27, -23/3, 23/3, -23/9, 23/9, -23/27, 23/27, 46/3, -46/3, 46/9, -46/9, 46/27, -46/27, -46/3, 46/3, -46/9, 46/9, -46/27, 46/27 }
1/3
x
1/3
27*x^3-81*x-46 = -72
1/3
-1/3
x
-1/3
27*x^3-81*x-46 = -20
-1/3
1/9
x
1/9
27*x^3-81*x-46 = -54.96296296
1/9
-1/9
x
-1/9
27*x^3-81*x-46 = -37.03703704
-1/9
1/27
x
1/27
27*x^3-81*x-46 = -48.99862826
1/27
-1/27
x
-1/27
27*x^3-81*x-46 = -43.00137174
-1/27
-1/3
x
-1/3
27*x^3-81*x-46 = -20
-1/3
1/3
x
1/3
27*x^3-81*x-46 = -72
1/3
-1/9
x
-1/9
27*x^3-81*x-46 = -37.03703704
-1/9
1/9
x
1/9
27*x^3-81*x-46 = -54.96296296
1/9
-1/27
x
-1/27
27*x^3-81*x-46 = -43.00137174
-1/27
1/27
x
1/27
27*x^3-81*x-46 = -48.99862826
1/27
2/3
x
2/3
27*x^3-81*x-46 = -92
2/3
-2/3
x
-2/3
27*x^3-81*x-46 = 0
-2/3
x+2/3
27*x^2-18*x-69
27*x^3-81*x-46
x+2/3
-27*x^3-18*x^2
-18*x^2-81*x-46
18*x^2+12*x
-69*x-46
69*x+46
0
27*x^2-18*x-69 = 0
DELTA = (-18)^2-(-69*4*27)
DELTA = 7776
DELTA > 0
x = (7776^(1/2)+18)/(2*27) or x = (18-7776^(1/2))/(2*27)
x = (36*6^(1/2)+18)/54 or x = (18-36*6^(1/2))/54
x in { (18-36*6^(1/2))/54, (36*6^(1/2)+18)/54, -2/3}
x in { (18-36*6^(1/2))/54, (36*6^(1/2)+18)/54, -2/3 }
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