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Assoli18 [71]
2 years ago
7

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

Mathematics
1 answer:
natima [27]2 years ago
4 0
Hello,

Let's assume

u=z+ \dfrac{1}{z} \\

u^2=(z+ \dfrac{1}{z} )^2=z^2+2*z* \dfrac{1}{z} + \dfrac{1}{z^2} =34+2=36\\
==\ \textgreater \  \ u=6\\

(z+ \dfrac{1}{z} )^3=(z+ \dfrac{1}{z} )(z^2+z* \frac{1}{z} + \frac{1}{z^2} )\\

=6*(34+1)=210

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Step-by-step explanation:

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