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Let ax^(2)+a^(2)x+2=0 be a quadratic equ...

Let `ax^(2)+a^(2)x+2=0` be a quadratic equation, `a in R` and S be the set of values of a for which roots of this equation are imaginary or equal, then answer the following questions:
If `alpha and beta` are sum and product of roots of the given equation respectivelty, then `(-alpha beta)` is

A

always a prime number

B

always in odd integer

C

always an irrational number

D

dependent to value of a

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