question_answer

If \[\alpha \] and \[\beta \] are the roots of \[{{x}^{2}}+px+q=0\] and \[{{\alpha }^{4}},\] \[{{\beta }^{4}}\] are the roots of \[{{x}^{2}}-rx+s=0,\] then the equation \[{{x}^{2}}-4qx+2{{q}^{2}}-r=0\]  has always:

A)  Two real roots 

B)  Two positive roots

C)  Two negative roots

D)  One positive and one negative root

E)  None of these