We will learn how to solve x=sqrt(x-1/x)+sqrt(1-1/x), which is a well-known square root equation from the Math Stack Exchange. Instead of multiplying by the conjugate, we can set two right triangles and use the Pythagorean Theorem to create a quadratic equation. Ultimately, you will see the solution is the golden ratio and you CAN'T get more satisfying than this! Read other solutions: ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey 💪 Support this channel and get my math notes by becoming a patron: 🛍 Shop my math t-shirt & hoodies: ---------------------------------------- #blackpenredpen #math #calculus #apcalculus