GATE | GATE-CS-2014-(Set-1) | Question 4

IF (z + 1/z)2 = 98, compute (z2 + 1/z2)
(A) 96
(B) 99
(C) 100
(D) 94


Answer: (A)

Explanation: (z + 1/z)2 = (z2 + 1/z2) + 2*z*1/z
(z2 + 1/z2) = (z + 1/z)2 – 2 = 98 – 2 = 96

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