Can both of the roots of a quadratic equation be the same number?

Question

I solved a quadratic equation and found that my answer was {2, 2}. Can this be correct? I am 95% sure I completed all the steps to solve it correctly, but I might've done something wrong. Thanks!

Answer 1

Certainly! If the quadratic expression happens to be a perfect square, the 2 roots will be the same. This is the same as the discriminant being zero. If the discriminant is zero, you will have 2 equal real roots.

Answer 2

Yes!!

If there are 2 identical factors,then you get two identical solutions.

In this case, the factors are: (x-2) and (x-2)

Multiply them and you have:

x² - 4x + 4

Looks like a quadratic from here....:)