X^3+9x^2+8x/72

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Solution for X^3+9x^2+8x/72 equation: 


x in (-oo:+oo)

X^3+9*x^2+(8*x)/72 = 0

X^3+9*x^2+1/9*x = 0

DELTA = (1/9)^2-(4*9*X^3)

DELTA = 1/81-36*X^3

1/81-36*X^3 = 0

-36*X^3 = -1/81 // : -36

X^3 = 1/2916

X^3 = 1/2916 // ^ 1/3

X = (1/2916)^(1/3)

DELTA = 0  <=>  t_1 = (1/2916)^(1/3)

x = -1/9/(2*9) i X = (1/2916)^(1/3)

x = -1/162 i X = (1/2916)^(1/3)

( x = ((1/81-36*X^3)^(1/2)-1/9)/(2*9) or x = (-(1/81-36*X^3)^(1/2)-1/9)/(2*9) ) i X > (1/2916)^(1/3)

( x = ((1/81-36*X^3)^(1/2)-1/9)/18 or x = (-((1/81-36*X^3)^(1/2)+1/9))/18 ) i X > (1/2916)^(1/3)

X-(1/2916)^(1/3) > 0

X-(1/2916)^(1/3) > 0 // + (1/2916)^(1/3)

X > (1/2916)^(1/3)

x in { -1/162, ((1/81-36*X^3)^(1/2)-1/9)/18, (-((1/81-36*X^3)^(1/2)+1/9))/18 }

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