2/3x^6-5x^(-2)

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Solution for 2/3x^6-5x^(-2) equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(2/3)*x^6-(5*x^-2) = 0

(2/3)*x^6-5*x^-2 = 0

2/3*x^6-5*x^-2 = 0

t_1 = x^2

2/3*t_1^3-5*t_1^-1 = 0

t_1^-1*(2/3*t_1^4-5) = 0

2/3*t_1^4 = 5 // : 2/3

t_1^4 = 15/2

t_1^4 = 15/2 // ^ 1/4

abs(t_1) = (15/2)^(1/4)

t_1 = (15/2)^(1/4) or t_1 = -(15/2)^(1/4)

1/t_1 = 0

1*t_1^-1 = 0 // : 1

t_1^-1 = 0

t_1 naleu017Cy do O

t_1 = (15/2)^(1/4)

x^2-(15/2)^(1/4) = 0

1*x^2 = (15/2)^(1/4) // : 1

x^2 = (15/2)^(1/4)

x^2 = (15/2)^(1/4) // ^ 1/2

abs(x) = (15/2)^(1/8)

x = (15/2)^(1/8) or x = -(15/2)^(1/8)

t_1 = -(15/2)^(1/4)

x^2+(15/2)^(1/4) = 0

1*x^2 = -(15/2)^(1/4) // : 1

x^2 = -(15/2)^(1/4)

x in { (15/2)^(1/8), -(15/2)^(1/8) }

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