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D( y )
y = 0
y = 0
y = 0
y in (-oo:0) U (0:+oo)
(y^3)/2-((11*y^1)/2)+(28*y^-1)/2 = 0
(y^3)/2+(-11/2)*y+(28*y^-1)/2 = 0
1/2*y^3-11/2*y^1+14*y^-1 = 0
(1/2*y^4-11/2*y^2+14*y^0)/(y^1) = 0 // * y^2
y^1*(1/2*y^4-11/2*y^2+14*y^0) = 0
y^1
(1/2)*y^4+(-11/2)*y^2+14 = 0
(1/2)*y^4+(-11/2)*y^2+14 = 0 // * 0
{ 1, -1, 2, -2, 4, -4, 7, -7, 14, -14, 28, -28 }
1
y = 1
y^4-11*y^2+28 = 18
1
-1
y = -1
y^4-11*y^2+28 = 18
-1
2
y = 2
y^4-11*y^2+28 = 0
2
y-2
y^3+2*y^2-7*y-14
y^4-11*y^2+28
y-2
2*y^3-y^4
2*y^3-11*y^2+28
4*y^2-2*y^3
28-7*y^2
7*y^2-14*y
28-14*y
14*y-28
0
y^3+2*y^2-7*y-14 = 0
{ 1, -1, 2, -2, 7, -7, 14, -14 }
1
y = 1
y^3+2*y^2-7*y-14 = -18
1
-1
y = -1
y^3+2*y^2-7*y-14 = -6
-1
2
y = 2
y^3+2*y^2-7*y-14 = -12
2
-2
y = -2
y^3+2*y^2-7*y-14 = 0
-2
y+2
y^2-7
y^3+2*y^2-7*y-14
y+2
-y^3-2*y^2
-7*y-14
7*y+14
0
y^2-7 = 0
DELTA = 0^2-(-7*1*4)
DELTA = 28
DELTA > 0
y = (28^(1/2)+0)/(1*2) or y = (0-28^(1/2))/(1*2)
y = 7^(1/2) or y = -7^(1/2)
y in { -7^(1/2), 7^(1/2), 2, -2}
y in { -7^(1/2), 7^(1/2), 2, -2 }
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