Meh. I watched the video, twice. And I don’t see how this guy’s method is that much better then the old quadratic formula method.
In fact, I like the old method better because it’s more mechanical. You just plug in the numbers and out come the solutions.
I’m a Mechanical Engineer, and minored in Math (MANY years ago...). I memorized multiplication tables in 3rd grade, the quadratic equation in Junior High, and many other things along the way (including some manipulations in Calculus).
THERE IS NOTHING WRONG WITH MEMORIZATION! IT WORKS! “More intuitive” is good, but I found it perfectly acceptable to be able to get answers BEFORE I completely understood the methods... After I did understand what the “mechanical” method got me, if I decided to go another way, or that I could do something more easily MY way, fine - but why do you want to screw with something that’s not any harder if it has been working for decades?
Millions of people get in a car and drive without the slightest understanding of how the vehicle works. Let’s do something “more intuitive” to teach them how to drive.