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

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


D( x )

x = 0

x = 0

x = 0

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

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

(3*x^2-2*x^-1)^5 = 0

3*x^2-2*x^-1 = 0

x^-1*(3*x^3-2) = 0

3*x^3 = 2 // : 3

x^3 = 2/3

x^3 = 2/3 // ^ 1/3

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

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

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

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

x-(2/3)^(1/3) = 0 // + (2/3)^(1/3)

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

( x^-1 )

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

x^-1 = 0

x należy do O

x in { (2/3)^(1/3), (2/3)^(1/3), (2/3)^(1/3), (2/3)^(1/3), (2/3)^(1/3) }

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