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D( n )
n = 0
n = 0
n = 0
n in (-oo:0) U (0:+oo)
4*n^3-(15*n)+2/n-3 = 0
4*n^3-15*n+2/n-3 = 0
4*n^3-15*n^1+2*n^-1-3*n^0 = 0
(4*n^4-15*n^2-3*n^1+2*n^0)/(n^1) = 0 // * n^2
n^1*(4*n^4-15*n^2-3*n^1+2*n^0) = 0
n^1
4*n^4-15*n^2-3*n+2 = 0
{ 1, -1, 2, -2 }
1
n = 1
4*n^4-15*n^2-3*n+2 = -12
1
-1
n = -1
4*n^4-15*n^2-3*n+2 = -6
-1
2
n = 2
4*n^4-15*n^2-3*n+2 = 0
2
n-2
4*n^3+8*n^2+n-1
4*n^4-15*n^2-3*n+2
n-2
8*n^3-4*n^4
8*n^3-15*n^2-3*n+2
16*n^2-8*n^3
n^2-3*n+2
2*n-n^2
2-n
n-2
0
4*n^3+8*n^2+n-1 = 0
{ 1, -1 }
1
n = 1
4*n^3+8*n^2+n-1 = 12
1
-1
n = -1
4*n^3+8*n^2+n-1 = 2
-1
{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4 }
1/2
n
1/2
4*n^3+8*n^2+n-1 = 2
1/2
-1/2
n
-1/2
4*n^3+8*n^2+n-1 = 0
-1/2
n+1/2
4*n^2+6*n-2
4*n^3+8*n^2+n-1
n+1/2
-4*n^3-2*n^2
6*n^2+n-1
-6*n^2-3*n
-2*n-1
2*n+1
0
4*n^2+6*n-2 = 0
DELTA = 6^2-(-2*4*4)
DELTA = 68
DELTA > 0
n = (68^(1/2)-6)/(2*4) or n = (-68^(1/2)-6)/(2*4)
n = (2*17^(1/2)-6)/8 or n = (-2*17^(1/2)-6)/8
n in { (-2*17^(1/2)-6)/8, (2*17^(1/2)-6)/8, 2, -1/2}
n in { (-2*17^(1/2)-6)/8, (2*17^(1/2)-6)/8, 2, -1/2 }
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