Question

A quadratic equation with integral coefficient has integral roots. Justify your answer.

Answer 1

No, a quadratic equation with integral coefficients may or may not have integral roots.

Justification:

Consider the following equation,

8x² – 2x – 1 = 0

The roots of the given equation are `1/2` and `-1/4` which are not integers.

Hence, a quadratic equation with integral coefficient might or might not have integral roots.