4x^(-2/3)-3=27

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Solution for 4x^(-2/3)-3=27 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x^(-2/3)-3 = 27 // - 27

4*x^(-2/3)-27-3 = 0

4*x^(-2/3) = 30 // : 4

x^(-2/3) = 15/2

-2/3 < 0

1/(x^(2/3)) = 15/2 // * x^(2/3)

1 = 15/2*x^(2/3) // : 15/2

2/15 = x^(2/3)

x^(2/3) = 2/15 // ^ 3

x^2 = 8/3375 // ^ 1/2

abs(x) = (8/3375)^(1/2)

x = (8/3375)^(1/2) or x = -(8/3375)^(1/2)

x in { (8/3375)^(1/2), -(8/3375)^(1/2) }

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