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D( x )
5*x^3-(20*x) = 0
5*x^3-(20*x) = 0
5*x^3-(20*x) = 0
5*x^3-20*x = 0
5*x^3-20*x = 0
5*x*(x^2-4) = 0
1*x^2 = 4 // : 1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
5*x = 0
5*x = 0 // : 5
x = 0
x in (-oo:-2) U (-2:0) U (0:2) U (2:+oo)
(x^2-(10*x)-24)/(5*x^3-(20*x)) = 0
(x^2-10*x-24)/(5*x^3-20*x) = 0
x^2-10*x-24 = 0
x^2-10*x-24 = 0
DELTA = (-10)^2-(-24*1*4)
DELTA = 196
DELTA > 0
x = (196^(1/2)+10)/(1*2) or x = (10-196^(1/2))/(1*2)
x = 12 or x = -2
(x+2)*(x-12) = 0
5*x^3-20*x = 0
5*x*(x^2-4) = 0
1*x^2 = 4 // : 1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
5*x*(x-2)*(x+2) = 0
((x+2)*(x-12))/(5*x*(x-2)*(x+2)) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-12 )
x-12 = 0 // + 12
x = 12
x in { -2}
x = 12
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