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D( k )
k-5 = 0
k-5 = 0
k-5 = 0
k-5 = 0 // + 5
k = 5
k in (-oo:5) U (5:+oo)
t_2 = 0
(k^3+4*k^2-46*k-5)/(k-5)+t_2 = 0
(k^3+4*k^2-46*k-5)/(k-5)+(t_2*(k-5))/(k-5) = 0
t_2*(k-5)+k^3+4*k^2-46*k-5 = 0
k^3+4*k^2-46*k+k*t_2-5*t_2-5 = 0
k^3+4*k^2-46*k+k*t_2-5*t_2-5 = 0
k^3+4*k^2-46*k+k*t_2-5*t_2-5
k*(k^2-46)+4*k^2+k*t_2-5*t_2-5
k*(4*k+t_2)+k*(k^2-46)-5*t_2-5
k*(4*k+t_2)-5*(t_2+1)+k*(k^2-46)
k*(k^2+4*k+t_2-46)-5*(t_2+1)
-4*(k^2+4*k+t_2-46)
(-4*(k^2+4*k+t_2-46))/(k-5) = 0
(-4*(k^2+4*k+t_2-46))/(k-5) = 0 // * k-5
-4*(k^2+4*k+t_2-46) = 0
k^2+4*k+t_2-46 = 0
DELTA = 4^2-(1*4*(t_2-46))
DELTA = 16-4*(t_2-46)
16-4*(t_2-46) = 0
16-4*(t_2-46) = 0
200-4*t_2 = 0
200-4*t_2 = 0
200-4*t_2 = 0 // - 200
-4*t_2 = -200 // : -4
t_2 = -200/(-4)
t_2 = 50
DELTA = 0 <=> t_4 = 50
k = -4/(1*2) i t_2 = 50
k = -2 i t_2 = 50
( k = ((16-4*(t_2-46))^(1/2)-4)/(1*2) or k = (-(16-4*(t_2-46))^(1/2)-4)/(1*2) ) i t_2 > 50
( k = ((16-4*(t_2-46))^(1/2)-4)/2 or k = (-((16-4*(t_2-46))^(1/2)+4))/2 ) i t_2 > 50
t_2-50 > 0
t_2-50 > 0 // + 50
t_2 > 50
k in { -2, ((16-4*(0-46))^(1/2)-4)/2, (-((16-4*(0-46))^(1/2)+4))/2 }
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