(3x^3-13x^2-56x)/(3x^2-29x+56)

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Solution for (3x^3-13x^2-56x)/(3x^2-29x+56) equation:


D( x )

3*x^2-(29*x)+56 = 0

3*x^2-(29*x)+56 = 0

3*x^2-(29*x)+56 = 0

3*x^2-29*x+56 = 0

3*x^2-29*x+56 = 0

DELTA = (-29)^2-(3*4*56)

DELTA = 169

DELTA > 0

x = (169^(1/2)+29)/(2*3) or x = (29-169^(1/2))/(2*3)

x = 7 or x = 8/3

x in (-oo:8/3) U (8/3:7) U (7:+oo)

(3*x^3-(13*x^2)-(56*x))/(3*x^2-(29*x)+56) = 0

(3*x^3-13*x^2-56*x)/(3*x^2-29*x+56) = 0

3*x^3-13*x^2-56*x = 0

x*(3*x^2-13*x-56) = 0

3*x^2-13*x-56 = 0

DELTA = (-13)^2-(-56*3*4)

DELTA = 841

DELTA > 0

x = (841^(1/2)+13)/(2*3) or x = (13-841^(1/2))/(2*3)

x = 7 or x = -8/3

x*(x+8/3)*(x-7) = 0

3*x^2-29*x+56 = 0

3*x^2-29*x+56 = 0

DELTA = (-29)^2-(3*4*56)

DELTA = 169

DELTA > 0

x = (169^(1/2)+29)/(2*3) or x = (29-169^(1/2))/(2*3)

x = 7 or x = 8/3

(x-8/3)*(x-7) = 0

(x*(x+8/3)*(x-7))/((x-8/3)*(x-7)) = 0

( x+8/3 )

x+8/3 = 0 // - 8/3

x = -8/3

( x-7 )

x-7 = 0 // + 7

x = 7

( x )

x = 0

x in { 7}

x in { -8/3, 0 }

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