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If z^2 1/z^2= 34 find the value of z^3 1/z^3 , using only the positive value of z 1/z
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If z^2 1/z^2= 34 find the value of z^3 1/z^3 , using only the positive value of z 1/z

User Olivier Depriester
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Hello,

Let's assume


u=z+ (1)/(z) \\ u^2=(z+ (1)/(z) )^2=z^2+2*z* (1)/(z) + (1)/(z^2) =34+2=36\\ ==\ \textgreater \ \ u=6\\ (z+ (1)/(z) )^3=(z+ (1)/(z) )(z^2+z* (1)/(z) + (1)/(z^2) )\\ =6*(34+1)=210
User GreenTriangle
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