4x^(-2/3)=1/9

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Solution for 4x^(-2/3)=1/9 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x^(-2/3) = 1/9 // - 1/9

4*x^(-2/3)-(1/9) = 0

4*x^(-2/3)-1/9 = 0

4*x^(-2/3) = 1/9 // : 4

x^(-2/3) = 1/36

-2/3 < 0

1/(x^(2/3)) = 1/36 // * x^(2/3)

1 = 1/36*x^(2/3) // : 1/36

36 = x^(2/3)

x^(2/3) = 36 // ^ 3

x^2 = 46656 // ^ 1/2

abs(x) = 216

x = 216 or x = -216

x in { 216, -216 }

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