First slide

Theory of equations

Question

If $b$ and $c$ are odd integers, then the equation $x^{2} + b x + c = 0$ has

Moderate

A

two odd roots
B

two integer roots, one odd and one even
C

no integer roots
D

none of these

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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