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D( t )
3*t^4-(7*t^2) = 0
3*t^4-(7*t^2) = 0
3*t^4-(7*t^2) = 0
3*t^4-7*t^2 = 0
t_1 = t^2
3*t_1^2-7*t_1^1 = 0
3*t_1^2-7*t_1 = 0
DELTA = (-7)^2-(0*3*4)
DELTA = 49
DELTA > 0
t_1 = (49^(1/2)+7)/(2*3) or t_1 = (7-49^(1/2))/(2*3)
t_1 = 7/3 or t_1 = 0
t_1 = 0
t^2+0 = 0
t^2 = 0
1*t^2 = 0 // : 1
t^2 = 0
t = 0
t_1 = 7/3
t^2-7/3 = 0
1*t^2 = 7/3 // : 1
t^2 = 7/3
t^2 = 7/3 // ^ 1/2
abs(t) = (7/3)^(1/2)
t = (7/3)^(1/2) or t = -(7/3)^(1/2)
t in (-oo:-(7/3)^(1/2)) U (-(7/3)^(1/2):0) U (0:(7/3)^(1/2)) U ((7/3)^(1/2):+oo)
(7*t^3+3*t^2)/(3*t^4-(7*t^2)) = 0
(7*t^3+3*t^2)/(3*t^4-7*t^2) = 0
7*t^3+3*t^2 = 0
t^2*(7*t+3) = 0
7*t+3 = 0 // - 3
7*t = -3 // : 7
t = -3/7
t^2*(t+3/7) = 0
3*t^4-7*t^2 = 0
t^2*(3*t^2-7) = 0
3*t^2 = 7 // : 3
t^2 = 7/3
t^2 = 7/3 // ^ 1/2
abs(t) = (7/3)^(1/2)
t = (7/3)^(1/2) or t = -(7/3)^(1/2)
t^2*(t-(7/3)^(1/2))*(t+(7/3)^(1/2)) = 0
(t^2*(t+3/7))/(t^2*(t-(7/3)^(1/2))*(t+(7/3)^(1/2))) = 0
( t+3/7 )
t+3/7 = 0 // - 3/7
t = -3/7
( t^2 )
1*t^2 = 0 // : 1
t^2 = 0
t = 0
t in { 0}
t = -3/7
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