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D( t )
(4*t-1)^2 = 0
4*t-1 = 0
(4*t-1)^2 = 0
(4*t-1)^2 = 0
4*t-1 = 0 // + 1
4*t = 1 // : 4
t = 1/4
4*t-1 = 0
4*t-1 = 0
4*t-1 = 0 // + 1
4*t = 1 // : 4
t = 1/4
t in (-oo:1/4) U (1/4:+oo)
1-(2/(4*t-1)) = 15/((4*t-1)^2) // - 15/((4*t-1)^2)
1-(2/(4*t-1))-(15/((4*t-1)^2)) = 0
1-2*(4*t-1)^-1-15*(4*t-1)^-2 = 0
1-2/(4*t-1)-15/((4*t-1)^2) = 0
(-2*(4*t-1))/((4*t-1)^2)-15/((4*t-1)^2)+(1*(4*t-1)^2)/((4*t-1)^2) = 0
1*(4*t-1)^2-2*(4*t-1)-15 = 0
16*t^2-8*t-8*t-13+1 = 0
16*t^2-16*t-12 = 0
16*t^2-16*t-12 = 0
4*(4*t^2-4*t-3) = 0
4*t^2-4*t-3 = 0
DELTA = (-4)^2-(-3*4*4)
DELTA = 64
DELTA > 0
t = (64^(1/2)+4)/(2*4) or t = (4-64^(1/2))/(2*4)
t = 3/2 or t = -1/2
4*(t+1/2)*(t-3/2) = 0
(4*(t+1/2)*(t-3/2))/((4*t-1)^2) = 0
(4*(t+1/2)*(t-3/2))/((4*t-1)^2) = 0 // * (4*t-1)^2
4*(t+1/2)*(t-3/2) = 0
( 4 )
4 = 0
t belongs to the empty set
( t+1/2 )
t+1/2 = 0 // - 1/2
t = -1/2
( t-3/2 )
t-3/2 = 0 // + 3/2
t = 3/2
t in { -1/2, 3/2 }
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