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Two complex numbers ` alpha and beta ` are such that ` alpha + beta =2` and ` alpha ^4 + beta ^4 = 272` , then the quadractic equation whose roots are `alpha and beta ` is

A

`x^(2) - 2x - 16 = 0`

B

`x^(2) - 2x + 12 = 0`

C

`x^(2) - 2x - 8 = 0`

D

none of these

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The correct Answer is:
C
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