6x^6/7-7x^2/21

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Solution for 6x^6/7-7x^2/21 equation:


x in (-oo:+oo)

(6*x^6)/7-((7*x^2)/21) = 0

(6*x^6)/7+(-1/3)*x^2 = 0

6/7*x^6-1/3*x^2 = 0

t_1 = x^2

6/7*t_1^3-1/3*t_1^1 = 0

6/7*t_1^3-1/3*t_1 = 0

t_1*(6/7*t_1^2-1/3) = 0

6/7*t_1^2 = 1/3 // : 6/7

t_1^2 = 7/18

t_1^2 = 7/18 // ^ 1/2

abs(t_1) = (7/18)^(1/2)

t_1 = (7/18)^(1/2) or t_1 = -(7/18)^(1/2)

t_1 = 0

t_1 = 0

t_1 = (7/18)^(1/2)

x^2-(7/18)^(1/2) = 0

1*x^2 = (7/18)^(1/2) // : 1

x^2 = (7/18)^(1/2)

x^2 = (7/18)^(1/2) // ^ 1/2

abs(x) = (7/18)^(1/4)

x = (7/18)^(1/4) or x = -(7/18)^(1/4)

t_1 = -(7/18)^(1/2)

x^2+(7/18)^(1/2) = 0

1*x^2 = -(7/18)^(1/2) // : 1

x^2 = -(7/18)^(1/2)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { (7/18)^(1/4), -(7/18)^(1/4), 0 }

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