((x^4)/3)-2x^3-5x^2

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Solution for ((x^4)/3)-2x^3-5x^2 equation: 


x in (-oo:+oo)

(x^4)/3-(2*x^3)-(5*x^2) = 0

(x^4)/3-2*x^3-5*x^2 = 0

1/3*x^4-2*x^3-5*x^2 = 0

x^2*(1/3*x^2-2*x-5) = 0

1/3*x^2-2*x-5 = 0

DELTA = (-2)^2-(-5*1/3*4)

DELTA = 32/3

DELTA > 0

x = ((32/3)^(1/2)+2)/(1/3*2) or x = (2-(32/3)^(1/2))/(1/3*2)

x = 3/2*((32/3)^(1/2)+2) or x = 3/2*(2-(32/3)^(1/2))

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 3/2*(2-(32/3)^(1/2)), 3/2*((32/3)^(1/2)+2), 0 }

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