1/3u^10-2/3u^5

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Solution for 1/3u^10-2/3u^5 equation: 


u in (-oo:+oo)

(1/3)*u^10-((2/3)*u^5) = 0

(1/3)*u^10+(-2/3)*u^5 = 0

1/3*u^10-2/3*u^5 = 0

t_1 = u^5

1/3*t_1^2-2/3*t_1^1 = 0

1/3*t_1^2-2/3*t_1 = 0

DELTA = (-2/3)^2-(0*1/3*4)

DELTA = 4/9

DELTA > 0

t_1 = ((4/9)^(1/2)+2/3)/(1/3*2) or t_1 = (2/3-(4/9)^(1/2))/(1/3*2)

t_1 = 2 or t_1 = 0

t_1 = 0

u^5+0 = 0

u^5 = 0

1*u^5 = 0 // : 1

u^5 = 0

u = 0

t_1 = 2

u^5-2 = 0

1*u^5 = 2 // : 1

u^5 = 2

u^5 = 2 // ^ 1/5

u = 2^(1/5)

u in { 0, 2^(1/5) }

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