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

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Solution for x^((1)/(3))-x^((1)/(6))=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

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

t_1 = x^(1/6)

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

t_1^2-t_1 = 0

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

DELTA = 1

DELTA > 0

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

t_1 = 1 or t_1 = 0

t_1 = 0

x^(1/6)+0 = 0

x^(1/6) = 0

1*x^(1/6) = 0 // : 1

x^(1/6) = 0

x = 0

t_1 = 1

x^(1/6)-1 = 0

1*x^(1/6) = 1 // : 1

x^(1/6) = 1

x^(1/6) = 1 // ^ 6

x = 1

x in { 0, 1 }

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