1/3x^3-4x-11/3

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Solution for 1/3x^3-4x-11/3 equation:


x in (-oo:+oo)

(1/3)*x^3-(4*x)-(11/3) = 0

(1/3)*x^3-4*x-11/3 = 0

(1/3)*x^3-4*x-11/3 = 0

(1/3)*x^3-4*x-11/3 = 0 // * 0

{ 1, -1, 11, -11 }

1

x = 1

x^3-12*x-11 = -22

1

-1

x = -1

x^3-12*x-11 = 0

-1

x+1

x^2-x-11

x^3-12*x-11

x+1

-x^3-x^2

-x^2-12*x-11

x^2+x

-11*x-11

11*x+11

0

x^2-x-11 = 0

DELTA = (-1)^2-(-11*1*4)

DELTA = 45

DELTA > 0

x = (45^(1/2)+1)/(1*2) or x = (1-45^(1/2))/(1*2)

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

x in { (1-3*5^(1/2))/2, (3*5^(1/2)+1)/2, -1}

x in { (1-3*5^(1/2))/2, (3*5^(1/2)+1)/2, -1 }

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