1/3x^2-1/x=1/6x^2

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Solution for 1/3x^2-1/x=1/6x^2 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/3)*x^2-(1/x) = (1/6)*x^2 // - (1/6)*x^2

(1/3)*x^2-((1/6)*x^2)-(1/x) = 0

(1/3)*x^2+(-1/6)*x^2-x^-1 = 0

1/6*x^2-x^-1 = 0

x^-1*(1/6*x^3-1) = 0

1/6*x^3 = 1 // : 1/6

x^3 = 6

x^3 = 6 // ^ 1/3

x = 6^(1/3)

1/x = 0

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

x^-1 = 0

x należy do O

x = 6^(1/3)

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