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 equation,

$8x^2–2x–1=0$

The roots of the given equation are $\frac{1}{2}$and $-\frac{1}{4}$which are not integers.

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