x^-2/3=5/6

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1/3*x^-2 = 5/6 // : 1/3

x^-2 = 5/2

-2 < 0

1/(x^2) = 5/2 // * x^2

1 = 5/2*x^2 // : 5/2

2/5 = x^2

x^2 = 2/5 // ^ 1/2

abs(x) = (2/5)^(1/2)

x = (2/5)^(1/2) or x = -(2/5)^(1/2)

x in { (2/5)^(1/2), -(2/5)^(1/2) }

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