X^3/2x^3-x^2-3x

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Solution for X^3/2x^3-x^2-3x equation:


x in (-oo:+oo)

((X^3)/2)*x^3-x^2-(3*x) = 0

((X^3)/2)*x^3-x^2-3*x = 0

1/2*X^3*x^3-x^2-3*x = 0

x*(1/2*X^3*x^2-x-3) = 0

1/2*X^3*x^2-x-3 = 0

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

DELTA = 6*X^3+1

6*X^3+1 = 0

6*X^3 = -1 // : 6

X^3 = -1/6

X^3 = -1/6 // ^ 1/3

X = -(1/6)^(1/3)

DELTA = 0 <=> t_1 = -(1/6)^(1/3)

x = 1/(1/2*2*X^3) i X = -(1/6)^(1/3)

x = 1/(X^3) i X = -(1/6)^(1/3)

( x = ((6*X^3+1)^(1/2)+1)/(1/2*2*X^3) or x = (1-(6*X^3+1)^(1/2))/(1/2*2*X^3) ) i X > -(1/6)^(1/3)

( x = ((6*X^3+1)^(1/2)+1)/(X^3) or x = (1-(6*X^3+1)^(1/2))/(X^3) ) i X > -(1/6)^(1/3)

X+(1/6)^(1/3) > 0

X+(1/6)^(1/3) > 0 // - (1/6)^(1/3)

X > -(1/6)^(1/3)

x = 0

x = 0

x in { 1/(X^3), ((6*X^3+1)^(1/2)+1)/(X^3), (1-(6*X^3+1)^(1/2))/(X^3), 0 }

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