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D( r )
r^2-1 = 0
r^2-1 = 0
r^2-1 = 0
1*r^2 = 1 // : 1
r^2 = 1
r^2 = 1 // ^ 1/2
abs(r) = 1
r = 1 or r = -1
r in (-oo:-1) U (-1:1) U (1:+oo)
10 = (r^4-1)/(r^2-1) // - (r^4-1)/(r^2-1)
10-((r^4-1)/(r^2-1)) = 0
(-1*(r^4-1))/(r^2-1)+10 = 0
(-1*(r^4-1))/(r^2-1)+(10*(r^2-1))/(r^2-1) = 0
10*(r^2-1)-1*(r^4-1) = 0
10*r^2-r^4-9 = 0
10*r^2-r^4-9 = 0
10*r^2-r^4-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
r = 1
10*r^2-r^4-9 = 0
1
r-1
9*r-r^3-r^2+9
10*r^2-r^4-9
r-1
r^4-r^3
10*r^2-r^3-9
r^3-r^2
9*r^2-9
9*r-9*r^2
9*r-9
9-9*r
0
9*r-r^3-r^2+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
r = 1
9*r-r^3-r^2+9 = 16
1
-1
r = -1
9*r-r^3-r^2+9 = 0
-1
r+1
9-r^2
9*r-r^3-r^2+9
r+1
r^3+r^2
9*r+9
-9*r-9
0
9-r^2 = 0
DELTA = 0^2-(-1*4*9)
DELTA = 36
DELTA > 0
r = (36^(1/2)+0)/(-1*2) or r = (0-36^(1/2))/(-1*2)
r = -3 or r = 3
r in { -3, 3, 1, -1}
(r+3)*(r-3)*(r-1)*(r+1) = 0
((r+3)*(r-3)*(r-1)*(r+1))/(r^2-1) = 0
((r+3)*(r-3)*(r-1)*(r+1))/(r^2-1) = 0 // * r^2-1
(r+3)*(r-3)*(r-1)*(r+1) = 0
( r+1 )
r+1 = 0 // - 1
r = -1
( r+3 )
r+3 = 0 // - 3
r = -3
( r-1 )
r-1 = 0 // + 1
r = 1
( r-3 )
r-3 = 0 // + 3
r = 3
r in { -1}
r in { 1}
r in { -3, 3 }
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