10/3x^-1/3+10/3x^2/3=0

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Solution for 10/3x^-1/3+10/3x^2/3=0 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

10/9*x^2+10/9*x^-1 = 0

(10/9*x^3+10/9*x^0)/(x^1) = 0 // * x^2

x^1*(10/9*x^3+10/9*x^0) = 0

x^1

(10/9)*x^3+10/9 = 0

(10/9)*x^3+10/9 = 0 // * 0

{ 1, -1, 2, -2, 5, -5, 10, -10 }

1

x = 1

10*x^3+10 = 20

1

-1

x = -1

10*x^3+10 = 0

-1

x+1

10*x^2-10*x+10

10*x^3+10

x+1

-10*x^3-10*x^2

10-10*x^2

10*x^2+10*x

10*x+10

-10*x-10

0

10*x^2-10*x+10 = 0

DELTA = (-10)^2-(4*10*10)

DELTA = -300

DELTA < 0

x in { -1} 

x = -1

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