How do these math formulas relate to everyday life?
The first three are all basic tools to create vectors, which are necessary for physics, which is necessary for engineering, which is necessary for basically everything man-made that we have today that we didn’t have in medieval times. The quadratic formula isn’t really *that* important to real-world applications of math. It has been shown relatively recently (that is, not in classical times) that there are similar formulas for 3rd and 4th order equations but not for those of any higher degree. Nevertheless, 3rd and 4th order polynomial equations do not play a significantly more prominent role in most areas of applied mathematics because of this. If you’re just interested in the mathematical fact that a root *exists*, that’s a consequence of the fundamental theorem, and if you want to know what it is, it’s likely that a numerical approximation is going to be considerably more useful than something expressed in terms of a bunch of square roots.
