Question

If z + z^–1 = 1, then z⁵⁰ + z^–50 is equal to –

• A. 1
• B. – 1
• C. 0
• D. 2

Answer 1

Answer: (B)

– 1

Answer 2

Sol. Let \overset{̶}{Z} = w Ž w⁵⁰ + $\frac{1}{\omega^{50}}$ =w²+ $\frac{1}{\omega^{2}}$ = w² + w = – 1