(x^3-6x^2-x)^(1/3)

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Solution for (x^3-6x^2-x)^(1/3) equation: 


x in (-oo:+oo)

(x^3-(6*x^2)-x)^(1/3) = 0

(x^3-6*x^2-x)^(1/3) = 0

x^3-6*x^2-x = 0

x*(x^2-6*x-1) = 0

x^2-6*x-1 = 0

DELTA = (-6)^2-(-1*1*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)+6)/(1*2) or x = (6-40^(1/2))/(1*2)

x = (2*10^(1/2)+6)/2 or x = (6-2*10^(1/2))/2

x*(x-((6-2*10^(1/2))/2))*(x-((2*10^(1/2)+6)/2)) = 0

x^(1/3)*(x-((6-2*10^(1/2))/2))^(1/3)*(x-((2*10^(1/2)+6)/2))^(1/3) = 0

( x-((2*10^(1/2)+6)/2) )

x-((2*10^(1/2)+6)/2) = 0 // + (2*10^(1/2)+6)/2

x = (2*10^(1/2)+6)/2

( x-((6-2*10^(1/2))/2) )

x-((6-2*10^(1/2))/2) = 0 // + (6-2*10^(1/2))/2

x = (6-2*10^(1/2))/2

( x )

x = 0

x in { (2*10^(1/2)+6)/2, (6-2*10^(1/2))/2, 0 }

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