If z² +1/z² = 11 find z³ - 1/z³ using only positive value of z- 1/z
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5
Answer:
198
Step-by-step explanation:
z² + 1/z² = 34
(z + 1/z)² -2 = 34
(z + 1/z)² = 36
(z + 1/z) = 6
now,
z³ + 1/z³ = (z + 1/z)³ -3(z + 1/z)
= (6)³ - 3(6)
= 216 - 18
= 198
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