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D( a )
2*a^2-(5*a)-3 = 0
a-3 = 0
2*a+1 = 0
2*a^2-(5*a)-3 = 0
2*a^2-(5*a)-3 = 0
2*a^2-5*a-3 = 0
2*a^2-5*a-3 = 0
DELTA = (-5)^2-(-3*2*4)
DELTA = 49
DELTA > 0
a = (49^(1/2)+5)/(2*2) or a = (5-49^(1/2))/(2*2)
a = 3 or a = -1/2
a-3 = 0
a-3 = 0
a-3 = 0 // + 3
a = 3
2*a+1 = 0
2*a+1 = 0
2*a+1 = 0 // - 1
2*a = -1 // : 2
a = -1/2
a in (-oo:-1/2) U (-1/2:3) U (3:+oo)
a/(2*a+1)-((2*a^2+5)/(2*a^2-(5*a)-3)) = 3/(a-3) // - 3/(a-3)
a/(2*a+1)-((2*a^2+5)/(2*a^2-(5*a)-3))-(3/(a-3)) = 0
a/(2*a+1)-((2*a^2+5)/(2*a^2-5*a-3))-3*(a-3)^-1 = 0
a/(2*a+1)+(-1*(2*a^2+5))/(2*a^2-5*a-3)-3/(a-3) = 0
2*a^2-5*a-3 = 0
2*a^2-5*a-3 = 0
2*a^2-5*a-3 = 0
DELTA = (-5)^2-(-3*2*4)
DELTA = 49
DELTA > 0
a = (49^(1/2)+5)/(2*2) or a = (5-49^(1/2))/(2*2)
a = 3 or a = -1/2
(a+1/2)*(a-3) = 0
a/(2*a+1)+(-1*(2*a^2+5))/((a+1/2)*(a-3))-3/(a-3) = 0
(a*(a+1/2)*(a-3))/((2*a+1)*(a+1/2)*(a-3))+(-1*(2*a^2+5)*(2*a+1))/((2*a+1)*(a+1/2)*(a-3))+(-3*(2*a+1)*(a+1/2))/((2*a+1)*(a+1/2)*(a-3)) = 0
a*(a+1/2)*(a-3)-1*(2*a^2+5)*(2*a+1)-3*(2*a+1)*(a+1/2) = 0
-3*a^3-9/2*a^2-6*a^2-23/2*a-6*a-5-3/2 = 0
-3*a^3-21/2*a^2-35/2*a-13/2 = 0
-3*a^3-21/2*a^2-35/2*a-13/2 = 0
-1*(3*a^3+21/2*a^2+35/2*a+13/2) = 0
3*a^3+(21/2)*a^2+(35/2)*a+13/2 = 0
3*a^3+(21/2)*a^2+(35/2)*a+13/2 = 0 // * 0
{ 1, -1, 13, -13 }
1
a = 1
6*a^3+21*a^2+35*a+13 = 75
1
-1
a = -1
6*a^3+21*a^2+35*a+13 = -7
-1
13
a = 13
6*a^3+21*a^2+35*a+13 = 17199
13
-13
a = -13
6*a^3+21*a^2+35*a+13 = -10075
-13
{ 1/2, -1/2, 1/3, -1/3, 1/6, -1/6, -1/2, 1/2, -1/3, 1/3, -1/6, 1/6, 13/2, -13/2, 13/3, -13/3, 13/6, -13/6, -13/2, 13/2, -13/3, 13/3, -13/6, 13/6 }
1/2
a
1/2
6*a^3+21*a^2+35*a+13 = 36.5
1/2
-1/2
a
-1/2
6*a^3+21*a^2+35*a+13 = 0
-1/2
a+1/2
6*a^2+18*a+26
6*a^3+21*a^2+35*a+13
a+1/2
-6*a^3-3*a^2
18*a^2+35*a+13
-18*a^2-9*a
26*a+13
-26*a-13
0
6*a^2+18*a+26 = 0
DELTA = 18^2-(4*6*26)
DELTA = -300
DELTA < 0
a in { -1/2}
-1*(a+1/2) = 0
(-1*(a+1/2))/((2*a+1)*(a+1/2)*(a-3)) = 0
(-1*(a+1/2))/((2*a+1)*(a+1/2)*(a-3)) = 0 // * (2*a+1)*(a+1/2)*(a-3)
-1*(a+1/2) = 0
a+1/2 = 0 // - 1/2
a = -1/2
a in { -1/2}
a belongs to the empty set
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