Question
Question: The value of (–1 + \(\sqrt{- 3}\))<sup>62</sup> + (–1– \(\sqrt{- 3}\))<sup>62</sup> is :...
The value of (–1 + −3)62 + (–1– −3)62 is :
A
262
B
264
C
– 262
D
0
Answer
– 262
Explanation
Solution
Sol. If –1 +3i / 2 = w, so, 262 w62 + 262(w2)62
= 262 (w2 + w) = – 262 (Q w3 = 1)