Sum

#### 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.

Concept: Nature of Roots of a Quadratic Equation
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10