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Let  = 2 3 i 1 –  . If a = (1 +  )    100 0 k k 2 and b =    100 0 k k 3 , then a and b are the roots of the quadratic equation :

1. x 2 + 102x + 101 = 0
2. x 2 – 102x + 101 = 0
3. x 2 – 101x + 100 = 0
4. x 2 + 101x + 100 = 0

Correct answer: x 2 – 102x + 101 = 0

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