# CBSE Class 10 Answered

**question**

Asked by arindeep.singh | 26 Sep, 2020, 10:39: AM

Expert Answer

Q: Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals? Why?

Solution:

Yes, it is possible that a quadratic equation with distinct irrational coefficients have rational roots.

It is because, the roots are rational if the discriminant is a perfect square. So, it depends upon the discriminant and not on the coefficients.

Here is an example:

Answered by Renu Varma | 28 Sep, 2020, 11:00: AM

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