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Question
A quadratic equation with integral coefficient has integral roots. Justify your answer.
Solution
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.
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Reason (R): Roots of the quadratic equation x2 – x + 1 = 0 are real.
