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D( x )
3*x^3-(11*x^2)-(4*x) = 0
3*x^3-(11*x^2)-(4*x) = 0
3*x^3-(11*x^2)-(4*x) = 0
3*x^3-11*x^2-4*x = 0
3*x^3-11*x^2-4*x = 0
x*(3*x^2-11*x-4) = 0
3*x^2-11*x-4 = 0
DELTA = (-11)^2-(-4*3*4)
DELTA = 169
DELTA > 0
x = (169^(1/2)+11)/(2*3) or x = (11-169^(1/2))/(2*3)
x = 4 or x = -1/3
x = 0
x = 0
x in (-oo:-1/3) U (-1/3:0) U (0:4) U (4:+oo)
(3*x^3+7*x^2+2*x)/(3*x^3-(11*x^2)-(4*x)) = 0
(3*x^3+7*x^2+2*x)/(3*x^3-11*x^2-4*x) = 0
3*x^3+7*x^2+2*x = 0
x*(3*x^2+7*x+2) = 0
3*x^2+7*x+2 = 0
DELTA = 7^2-(2*3*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-7)/(2*3) or x = (-25^(1/2)-7)/(2*3)
x = -1/3 or x = -2
x*(x+2)*(x+1/3) = 0
3*x^3-11*x^2-4*x = 0
x*(3*x^2-11*x-4) = 0
3*x^2-11*x-4 = 0
DELTA = (-11)^2-(-4*3*4)
DELTA = 169
DELTA > 0
x = (169^(1/2)+11)/(2*3) or x = (11-169^(1/2))/(2*3)
x = 4 or x = -1/3
x*(x+1/3)*(x-4) = 0
(x*(x+2)*(x+1/3))/(x*(x+1/3)*(x-4)) = 0
( x+1/3 )
x+1/3 = 0 // - 1/3
x = -1/3
( x+2 )
x+2 = 0 // - 2
x = -2
( x )
x = 0
x in { -1/3}
x in { 0}
x = -2
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