Question

how do you use determinants to determine whether a quadratic equation has rational or irrational roots

Answer 1

Find an integer k for which the roots of the equation will be rational and unequal. To find a value of k that makes the roots rational and unequal the discriminant must be greater than 0 and a perfect square.

Explanation:

So if k=0 or k=5 the roots will be rational and unequal. hope this helps you :)