I currently write an article where I want to introduce roots. Thus I need to motivate them. Here I said, they can be used to find solutions of equations like $x^n=a$. Now I want to make some examples, where this problem arises. So far I found:
- What is the side length of a square with the area of $10 m^2$?
- What are the roots of the polynomial $x^2+x-1$?
What examples would you take? I do not have the feeling that mine are really convincing to study roots...