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D( x )
x^2-(5*x) = 0
x^2-(5*x) = 0
x^2-(5*x) = 0
x^2-5*x = 0
x^2-5*x = 0
DELTA = (-5)^2-(0*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+5)/(1*2) or x = (5-25^(1/2))/(1*2)
x = 5 or x = 0
x in (-oo:0) U (0:5) U (5:+oo)
(x^3-(27*x))/(x^2-(5*x)) = 0
(x^3-27*x)/(x^2-5*x) = 0
x^3-27*x = 0
x*(x^2-27) = 0
1*x^2 = 27 // : 1
x^2 = 27
x^2 = 27 // ^ 1/2
abs(x) = 3*3^(1/2)
x = 3*3^(1/2) or x = -(3*3^(1/2))
x*(x-3*3^(1/2))*(x+3*3^(1/2)) = 0
x^2-5*x = 0
x*(x-5) = 0
x-5 = 0 // + 5
x = 5
x*(x-5) = 0
(x*(x-3*3^(1/2))*(x+3*3^(1/2)))/(x*(x-5)) = 0
( x+3*3^(1/2) )
x+3*3^(1/2) = 0 // - 3*3^(1/2)
x = -(3*3^(1/2))
x = -3*3^(1/2)
( x-3*3^(1/2) )
x-3*3^(1/2) = 0 // + -3*3^(1/2)
x = -(-3*3^(1/2))
x = 3*3^(1/2)
( x )
x = 0
x in { 0}
x in { -3*3^(1/2), 3*3^(1/2) }
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