Q.

If b and c are odd integers, then the equation x2+bx+c=0 has

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a

two odd roots

b

two integer roots, one odd and one even

c

no integer roots

d

none of these

answer is C.

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Detailed Solution

We know that a quadratic equation with coefficients as odd integers cannot have rational roots. Therefore, the given equation has no rational root.
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If b and c are odd integers, then the equation x2+bx+c=0 has