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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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