Jammed button Question 1
Help! You and your team are on a mission in outer space and suddenly the button to return to Earth has been jammed and no longer works. To make matters worse, you have been assigned questions to complete to get the security code and get the button working again.
is a number such that where . Find
The answer is -1.
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∣ p ∣ = p 4 suggests that p is the 4th root of unity ( Either one of 1 , − 1 , i , − i )
Since p = ± ∣ p ∣ , that rules out 1 and -1.
Hence, p = i , − i .
( i 2 = − 1 )