(3x^2-11x-4)/(3x^3-5x^2-2x)

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Solution for (3x^2-11x-4)/(3x^3-5x^2-2x) equation: 


D( x )

3*x^3-(5*x^2)-(2*x) = 0

3*x^3-(5*x^2)-(2*x) = 0

3*x^3-(5*x^2)-(2*x) = 0

3*x^3-5*x^2-2*x = 0

3*x^3-5*x^2-2*x = 0

x*(3*x^2-5*x-2) = 0

3*x^2-5*x-2 = 0

DELTA = (-5)^2-(-2*3*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*3) or x = (5-49^(1/2))/(2*3)

x = 2 or x = -1/3

x = 0

x = 0

x in (-oo:-1/3) U (-1/3:0) U (0:2) U (2:+oo)

(3*x^2-(11*x)-4)/(3*x^3-(5*x^2)-(2*x)) = 0

(3*x^2-11*x-4)/(3*x^3-5*x^2-2*x) = 0

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+1/3)*(x-4) = 0

3*x^3-5*x^2-2*x = 0

x*(3*x^2-5*x-2) = 0

3*x^2-5*x-2 = 0

DELTA = (-5)^2-(-2*3*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*3) or x = (5-49^(1/2))/(2*3)

x = 2 or x = -1/3

x*(x+1/3)*(x-2) = 0

((x+1/3)*(x-4))/(x*(x+1/3)*(x-2)) = 0

( x+1/3 )

x+1/3 = 0 // - 1/3

x = -1/3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -1/3} 

x = 4

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