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D( x )
3*x^2-(16*x)+5 = 0
3*x^2-(16*x)+5 = 0
3*x^2-(16*x)+5 = 0
3*x^2-16*x+5 = 0
3*x^2-16*x+5 = 0
DELTA = (-16)^2-(3*4*5)
DELTA = 196
DELTA > 0
x = (196^(1/2)+16)/(2*3) or x = (16-196^(1/2))/(2*3)
x = 5 or x = 1/3
x in (-oo:1/3) U (1/3:5) U (5:+oo)
(3*x^2-(15*x))/(3*x^2-(16*x)+5) = 0
(3*x^2-15*x)/(3*x^2-16*x+5) = 0
3*x^2-15*x = 0
3*x*(x-5) = 0
x-5 = 0 // + 5
x = 5
3*x*(x-5) = 0
3*x^2-16*x+5 = 0
3*x^2-16*x+5 = 0
DELTA = (-16)^2-(3*4*5)
DELTA = 196
DELTA > 0
x = (196^(1/2)+16)/(2*3) or x = (16-196^(1/2))/(2*3)
x = 5 or x = 1/3
(x-1/3)*(x-5) = 0
(3*x*(x-5))/((x-1/3)*(x-5)) = 0
( 3*x )
3*x = 0 // : 3
x = 0
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 5}
x = 0
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