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If alpha, beta are the real roots of x...

If `alpha, beta` are the real roots of `x^(2) + px + q= 0 and alpha^(4), beta^(4)` are the roots of `x^(2) - rx + s = 0 `, then the equation `x^(2) - 4 q x + 2q^(2) - r = 0 ` has always

A

two positive roots

B

two negative roots

C

one positive root and one negative root

D

two real roots

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The correct Answer is:
D
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