Hi @Manie_Besselaar,

You can definitely solve quadratics using the first method of âcompleting the squareâ but it can get a little tricky depending on the coefficients youâre working with.

In the worst case, you end up having to fall back on the good old quadratic formula - i.e. `y = (-b Âą â(bÂ˛ - 4ac)) / (2a)`

, which can be a pain to try and memorize and usually requires a fair bit of work to simplify at the end.

I find that the method I showed in the video is a bit more intuitive because the process is always the same.

It can also give you an earlier warning on whether youâre dealing with a parabola with real or imaginary roots, which can be nice.

Thereâs not really a universally âpreferredâ way to solve any equation and there are always different ways to approach any problem. For instance, this method was only popularized in 2019 by the mathematician Po-Shen Loh!

If youâd like some additional insight into the method then Iâd recommend checking out Lohâs excellent explanation here: https://www.poshenloh.com/quadraticdetail/

(His video explanation is about ~40mins long so grab a drink and settle in!)