(9x)^(2/3)+(2y)^(2/3)+(z)^(2/3)

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Solution for (9x)^(2/3)+(2y)^(2/3)+(z)^(2/3) equation: 


x in (-oo:+oo)

(9*x)^(2/3)+(2*y)^(2/3)+z^(2/3) = 0

9^(2/3)*x^(2/3) = -(2^(2/3)*y^(2/3)+z^(2/3)) // : 9^(2/3)

x^(2/3) = -(9^(-2/3)*(2^(2/3)*y^(2/3)+z^(2/3)))

x^(2/3) = -(9^(-2/3)*(2^(2/3)*y^(2/3)+z^(2/3))) // ^ 3

x^2 = 1/81*(2^(2/3)*y^(2/3)+z^(2/3))^3 // ^ 1/2

abs(x) = 1/9*(2^(2/3)*y^(2/3)+z^(2/3))^(3/2)

x = 1/9*(2^(2/3)*y^(2/3)+z^(2/3))^(3/2) or x = -(1/9*(2^(2/3)*y^(2/3)+z^(2/3))^(3/2))

x in { 1/9*(2^(2/3)*y^(2/3)+z^(2/3))^(3/2), -(1/9*(2^(2/3)*y^(2/3)+z^(2/3))^(3/2)) }

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