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D( x )
10*x^2-(25*x)+15 = 0
10*x^2-(25*x)+15 = 0
10*x^2-(25*x)+15 = 0
10*x^2-25*x+15 = 0
10*x^2-25*x+15 = 0
DELTA = (-25)^2-(4*10*15)
DELTA = 25
DELTA > 0
x = (25^(1/2)+25)/(2*10) or x = (25-25^(1/2))/(2*10)
x = 3/2 or x = 1
x in (-oo:1) U (1:3/2) U (3/2:+oo)
(5*x-5)/(10*x^2-(25*x)+15) = 0
(5*x-5)/(10*x^2-25*x+15) = 0
10*x^2-25*x+15 = 0
5*(2*x^2-5*x+3) = 0
2*x^2-5*x+3 = 0
DELTA = (-5)^2-(2*3*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)+5)/(2*2) or x = (5-1^(1/2))/(2*2)
x = 3/2 or x = 1
5*(x-1)*(x-3/2) = 0
(5*x-5)/(5*(x-1)*(x-3/2)) = 0
5*x-5 = 0 // + 5
5*x = 5 // : 5
x = 5/5
x = 1
x in { 1}
x belongs to the empty set
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