1/81x^6-8/27x^3+16/9

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Solution for 1/81x^6-8/27x^3+16/9 equation:


x in (-oo:+oo)

(1/81)*x^6-((8/27)*x^3)+16/9 = 0

(1/81)*x^6+(-8/27)*x^3+16/9 = 0

1/81*x^6-8/27*x^3+16/9 = 0

t_1 = x^3

1/81*t_1^2-8/27*t_1^1+16/9 = 0

1/81*t_1^2-8/27*t_1+16/9 = 0

DELTA = (-8/27)^2-(1/81*16/9*4)

DELTA = 0

t_1 = 8/27/(1/81*2)

t_1 = 12 or t_1 = 12

t_1 = 12

x^3-12 = 0

1*x^3 = 12 // : 1

x^3 = 12

x^3 = 12 // ^ 1/3

x = 12^(1/3)

t_1 = 12

x^3-12 = 0

1*x^3 = 12 // : 1

x^3 = 12

x^3 = 12 // ^ 1/3

x = 12^(1/3)

x in { 12^(1/3), 12^(1/3) }

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