x^6-(x^3/64)

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Solution for x^6-(x^3/64) equation: 


x in (-oo:+oo)

x^6-((x^3)/64) = 0

x^6-1/64*x^3 = 0

t_1 = x^3

1*t_1^2-1/64*t_1^1 = 0

t_1^2-1/64*t_1 = 0

DELTA = (-1/64)^2-(0*1*4)

DELTA = 1/4096

DELTA > 0

t_1 = ((1/4096)^(1/2)+1/64)/(1*2) or t_1 = (1/64-(1/4096)^(1/2))/(1*2)

t_1 = 1/64 or t_1 = 0

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

t_1 = 1/64

x^3-1/64 = 0

1*x^3 = 1/64 // : 1

x^3 = 1/64

x^3 = 1/64 // ^ 1/3

x = 1/4

x in { 0, 1/4 }

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