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D( x )
x^4-(25*x^2) = 0
x^4-(25*x^2) = 0
x^4-(25*x^2) = 0
x^4-25*x^2 = 0
t_1 = x^2
1*t_1^2-25*t_1^1 = 0
t_1^2-25*t_1 = 0
DELTA = (-25)^2-(0*1*4)
DELTA = 625
DELTA > 0
t_1 = (625^(1/2)+25)/(1*2) or t_1 = (25-625^(1/2))/(1*2)
t_1 = 25 or t_1 = 0
t_1 = 0
x^2+0 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
t_1 = 25
x^2-25 = 0
1*x^2 = 25 // : 1
x^2 = 25
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x in (-oo:-5) U (-5:0) U (0:5) U (5:+oo)
(x^3-(5*x^2))/(x^4-(25*x^2)) = 0
(x^3-5*x^2)/(x^4-25*x^2) = 0
x^3-5*x^2 = 0
x^2*(x-5) = 0
x-5 = 0 // + 5
x = 5
x^2*(x-5) = 0
x^4-25*x^2 = 0
x^2*(x^2-25) = 0
1*x^2 = 25 // : 1
x^2 = 25
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x^2*(x-5)*(x+5) = 0
(x^2*(x-5))/(x^2*(x-5)*(x+5)) = 0
( x-5 )
x-5 = 0 // + 5
x = 5
( x^2 )
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in { 5}
x in { 0}
x belongs to the empty set
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