##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
Solving quadratic equations
A quadratic equation has the form . The quadratic formula solves for :
The means two solutions exist (one with , one with ). In competitive programming, you use this when analyzing recurrence relations or solving optimization problems with parabolic constraints.
