a^10-a^5/2

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Solution for a^10-a^5/2 equation: 


a in (-oo:+oo)

a^10-((a^5)/2) = 0

a^10-1/2*a^5 = 0

t_1 = a^5

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

t_1^2-1/2*t_1 = 0

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

DELTA = 1/4

DELTA > 0

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

t_1 = 1/2 or t_1 = 0

t_1 = 0

a^5+0 = 0

a^5 = 0

1*a^5 = 0 // : 1

a^5 = 0

a = 0

t_1 = 1/2

a^5-1/2 = 0

1*a^5 = 1/2 // : 1

a^5 = 1/2

a^5 = 1/2 // ^ 1/5

a = (1/2)^(1/5)

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

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