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

Answer

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

Justification

Consider the equation,

8x2 – 2x – 1 = 0

The roots of the given equation are ½ and – ¼ which are not integers.

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

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