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If b(1)b(2)=2(c(1)+c(2))andb(1),b(2),c(1...

If `b_(1)b_(2)=2(c_(1)+c_(2))andb_(1),b_(2),c_(1),c_(2)` are all real numbers, then at least one of the equations `x^(2)+b_(1)x+c_(1)=0andx^(2)+b_(2)x+c_(2)=0` has

A

real roots

B

purely imaginary roots

C

roots of the form a+ib `(a,binR,abne0)`

D

rational roots

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