If z^2+ 1/z^2=83, find the value of z^3-1/z^3
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Answered by
2
Step-by-step explanation:
here is the answer but please send me the name of the book
Attachments:
srenika3838:
U mean the book where the question is from?
That question was just a worksheet that I got
Just in a worksheet *
Thanks for Thanking me .
Ur welcome !
can you share me the whole worksheet ?
Answered by
2
Answer:
z² + 1/z² = ± 756
Step-by-step explanation:
z² + 1/z² = 83
Subtract 2 from both sides
z² + 1/z² - 2 = 83 - 2
(z – 1/z)² = 81
So, z – 1/z = ± 9.
So, z³ – 1/z³ = (z – 1/z)(z² + 1/z² + 1)
= ± 9 × (83 + 1)
= ± 756
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