1/3x6-2/3x2

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Solution for 1/3x6-2/3x2 equation:


x in (-oo:+oo)

(1/3)*x^6-((2/3)*x^2) = 0

(1/3)*x^6+(-2/3)*x^2 = 0

1/3*x^6-2/3*x^2 = 0

t_1 = x^2

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

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

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

1*t_1^2 = 2 // : 1

t_1^2 = 2

t_1^2 = 2 // ^ 1/2

abs(t_1) = 2^(1/2)

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

t_1/3 = 0

1/3*t_1 = 0 // : 1/3

t_1 = 0

t_1 = 2^(1/2)

x^2-2^(1/2) = 0

1*x^2 = 2^(1/2) // : 1

x^2 = 2^(1/2)

x^2 = 2^(1/2) // ^ 1/2

abs(x) = 2^(1/4)

x = 2^(1/4) or x = -2^(1/4)

t_1 = -2^(1/2)

x^2+2^(1/2) = 0

1*x^2 = -2^(1/2) // : 1

x^2 = -2^(1/2)

x^2 = 2^(1/2) // ^ 1/2

abs(x) = 2^(1/4)

x = 2^(1/4) or x = -2^(1/4)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 2^(1/4), -2^(1/4), 2^(1/4), -2^(1/4), 0 }

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