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

Given:

A quadratic equation with integral coefficient has integral roots.

To do:

We have to justify the given statement.

Solution:

It is not necessary that a quadratic equation with integral coefficients has integral roots.

For example,

The roots of the quadratic equation $8x^2-2x-1=0$ are $\frac{-1}{4}$ and $\frac{1}{2}$.

Here, $\frac{-1}{4}$ and $\frac{3}{2}$ are not integers.

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Updated on: 10-Oct-2022

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