7x2/3-1x6

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Solution for 7x2/3-1x6 equation:


x in (-oo:+oo)

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

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

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

t_1 = x^2

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

7/3*t_1-t_1^3 = 0

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

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

t_1^2 = 7/3

t_1^2 = 7/3 // ^ 1/2

abs(t_1) = (7/3)^(1/2)

t_1 = (7/3)^(1/2) or t_1 = -(7/3)^(1/2)

t_1 = 0

t_1 = 0

t_1 = (7/3)^(1/2)

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

1*x^2 = (7/3)^(1/2) // : 1

x^2 = (7/3)^(1/2)

x^2 = (7/3)^(1/2) // ^ 1/2

abs(x) = (7/3)^(1/4)

x = (7/3)^(1/4) or x = -(7/3)^(1/4)

t_1 = -(7/3)^(1/2)

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

1*x^2 = -(7/3)^(1/2) // : 1

x^2 = -(7/3)^(1/2)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { (7/3)^(1/4), -(7/3)^(1/4), 0 }

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