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lord have mercy, god is a woman
I've never understood the "why" behind the quadratic formula, which bothered me because it's literally such an essential formula in all of mathematics. So on this wonderful Sunday morning, I decided to derive the quadratic formula. If anyone else wants to see a simple, ten step derivation of the quadratic formula (with explanations) here's the one I made.
3D Projection of Mandelbrot Set's Real Axis Bifurcation Diagram 𖣂
𝓏ₙ₊₁ = 𝓏ₙ² + 𝑐 -> 2D Mandelbrot Set, complex sequence notation
𝑓𝑐(𝑥) = 𝑥² + 𝑐 -> Bifurcation Quadratic Map, real function notation
born to edit high quality footage, forced to like a man whose career started in the 80s
Phase portrait of the quadratic system, Eq. (19). The green dots indicate the fix points of the system. The dashed lines comprise the region where the B transformation is undefined. Bácsi, Ádám & Kocsis, Albert. (2022). Exactly solvable quadratic differential equation systems through generalized inversion. 10.48550/arXiv.2206.03728.
Quadratic D-pad burst
Help. I can’t lock the fuck in. How quadratics?