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D( b )
b+5 = 0
b+5 = 0
b+5 = 0
b+5 = 0 // - 5
b = -5
b in (-oo:-5) U (-5:+oo)
t_2 = 0
(2*b^3+10*b^2-b+5)/(b+5)+t_2 = 0
(2*b^3+10*b^2-b+5)/(b+5)+(t_2*(b+5))/(b+5) = 0
t_2*(b+5)+2*b^3+10*b^2-b+5 = 0
2*b^3+10*b^2-b+b*t_2+5*t_2+5 = 0
2*b^3+10*b^2-b+b*t_2+5*t_2+5 = 0
2*b^3+10*b^2-b+b*t_2+5*t_2+5
b*(2*b^2-1)+10*b^2+b*t_2+5*t_2+5
b*(10*b+t_2)+b*(2*b^2-1)+5*t_2+5
5*(t_2+1)+b*(10*b+t_2)+b*(2*b^2-1)
b*(2*b^2+10*b+t_2-1)+5*(t_2+1)
6*(2*b^2+10*b+t_2-1)
(6*(2*b^2+10*b+t_2-1))/(b+5) = 0
(6*(2*b^2+10*b+t_2-1))/(b+5) = 0 // * b+5
6*(2*b^2+10*b+t_2-1) = 0
2*b^2+10*b+t_2-1 = 0
DELTA = 10^2-(2*4*(t_2-1))
DELTA = 100-8*(t_2-1)
100-8*(t_2-1) = 0
100-8*(t_2-1) = 0
108-8*t_2 = 0
108-8*t_2 = 0
108-8*t_2 = 0 // - 108
-8*t_2 = -108 // : -8
t_2 = -108/(-8)
t_2 = 27/2
DELTA = 0 <=> t_4 = 27/2
b = -10/(2*2) i t_2 = 27/2
b = -5/2 i t_2 = 27/2
( b = ((100-8*(t_2-1))^(1/2)-10)/(2*2) or b = (-(100-8*(t_2-1))^(1/2)-10)/(2*2) ) i t_2 > 27/2
( b = ((100-8*(t_2-1))^(1/2)-10)/4 or b = (-((100-8*(t_2-1))^(1/2)+10))/4 ) i t_2 > 27/2
t_2-27/2 > 0
t_2-27/2 > 0 // + 27/2
t_2 > 27/2
b in { -5/2, ((100-8*(0-1))^(1/2)-10)/4, (-((100-8*(0-1))^(1/2)+10))/4 }
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