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D( y )
y-3 = 0
y+3 = 0
y^2-9 = 0
y-3 = 0
y-3 = 0
y-3 = 0 // + 3
y = 3
y+3 = 0
y+3 = 0
y+3 = 0 // - 3
y = -3
y^2-9 = 0
y^2-9 = 0
1*y^2 = 9 // : 1
y^2 = 9
y^2 = 9 // ^ 1/2
abs(y) = 3
y = 3 or y = -3
y in (-oo:-3) U (-3:3) U (3:+oo)
y/(y^2-9)+(y-3)/(y+3)-((2*y)/(y-3)) = 0
y/(y^2-9)+(y-3)/(y+3)-2*y*(y-3)^-1 = 0
y/(y^2-9)+(y-3)/(y+3)+(-2*y)/(y-3) = 0
(y*(y+3)*(y-3))/((y^2-9)*(y+3)*(y-3))+((y-3)^2*(y^2-9))/((y^2-9)*(y+3)*(y-3))+(-2*y*(y^2-9)*(y+3))/((y^2-9)*(y+3)*(y-3)) = 0
y*(y+3)*(y-3)+(y-3)^2*(y^2-9)-2*y*(y^2-9)*(y+3) = 0
y^4-2*y^4-5*y^3-6*y^3+18*y^2+45*y+54*y-81 = 0
18*y^2-y^4-11*y^3+99*y-81 = 0
18*y^2-y^4-11*y^3+99*y-81 = 0
18*y^2-y^4-11*y^3+99*y-81 = 0
{ 1, -1, 3, -3, 9, -9, 27, -27, 81, -81 }
1
y = 1
18*y^2-y^4-11*y^3+99*y-81 = 24
1
-1
y = -1
18*y^2-y^4-11*y^3+99*y-81 = -152
-1
3
y = 3
18*y^2-y^4-11*y^3+99*y-81 = 0
3
y-3
27-y^3-14*y^2-24*y
18*y^2-y^4-11*y^3+99*y-81
y-3
y^4-3*y^3
18*y^2-14*y^3+99*y-81
14*y^3-42*y^2
99*y-24*y^2-81
24*y^2-72*y
27*y-81
81-27*y
0
27-y^3-14*y^2-24*y = 0
{ 1, -1, 3, -3, 9, -9, 27, -27 }
1
y = 1
27-y^3-14*y^2-24*y = -12
1
-1
y = -1
27-y^3-14*y^2-24*y = 38
-1
3
y = 3
27-y^3-14*y^2-24*y = -198
3
-3
y = -3
27-y^3-14*y^2-24*y = 0
-3
y+3
9-y^2-11*y
27-y^3-14*y^2-24*y
y+3
y^3+3*y^2
27-11*y^2-24*y
11*y^2+33*y
9*y+27
-9*y-27
0
9-y^2-11*y = 0
DELTA = (-11)^2-(-1*4*9)
DELTA = 157
DELTA > 0
y = (157^(1/2)+11)/(-1*2) or y = (11-157^(1/2))/(-1*2)
y = (157^(1/2)+11)/(-2) or y = (11-157^(1/2))/(-2)
y in { (157^(1/2)+11)/(-2), (11-157^(1/2))/(-2), 3, -3}
(y-((157^(1/2)+11)/(-2)))*(y-((11-157^(1/2))/(-2)))*(y-3)*(y+3) = 0
((y-((157^(1/2)+11)/(-2)))*(y-((11-157^(1/2))/(-2)))*(y-3)*(y+3))/((y^2-9)*(y+3)*(y-3)) = 0
((y-((157^(1/2)+11)/(-2)))*(y-((11-157^(1/2))/(-2)))*(y-3)*(y+3))/((y^2-9)*(y+3)*(y-3)) = 0 // * (y^2-9)*(y+3)*(y-3)
(y-((157^(1/2)+11)/(-2)))*(y-((11-157^(1/2))/(-2)))*(y-3)*(y+3) = 0
( y+3 )
y+3 = 0 // - 3
y = -3
( y-((11-157^(1/2))/(-2)) )
y-((11-157^(1/2))/(-2)) = 0 // + (11-157^(1/2))/(-2)
y = (11-157^(1/2))/(-2)
( y-((157^(1/2)+11)/(-2)) )
y-((157^(1/2)+11)/(-2)) = 0 // + (157^(1/2)+11)/(-2)
y = (157^(1/2)+11)/(-2)
( y-3 )
y-3 = 0 // + 3
y = 3
y in { -3}
y in { 3}
y in { (11-157^(1/2))/(-2), (157^(1/2)+11)/(-2) }
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