Number theory | Quadratic Congruence ax^2 +b≡0(mod13) Solved in Minutes

#matholympiad #numbertheory #QuadraticCongruences #QuadraticResidues #modulararithmetic #jeeadvanced #ModularInverse #IMO #RMO #IOQM #iitianexplains #CongruenceModulo #Modulo #csirnetmaths #MATHS&SCIENCE BY IITIAN 🎯 In Number thery would yu like to solve Quadratic Congruence ax^2 +b≡0(mod13) in Minutes, you are at the right place. In this video, an IItian explains how to solve modular quadratic equations of the form: ax^2+b≡0(mod p) Unlock the secrets of Quadratic Congruences in Number Theory! 🚀 In this video, an IIT-trained mathematician explains how to solve modular quadratic equations of the form: ax^2+b≡0(mod p) Specifically, we focus on mod 13, counting all possible pairs (a,b) belonging to Z13^2 that make the congruence solvable. This video is perfect for: *Math Olympiad aspirants looking to master modular arithmetic *MSc Mathematics students preparing for advanced number theory problems *CSIR/UGC NET aspirants tackling discrete math questions *JEE Advanced aspirants aiming for top marks in Number Theory 📌 What you’ll learn: *Step-by-step solution of quadratic congruences modulo a prime *Counting the number of solvable (a,b) pairs *Using quadratic residues to simplify computations *Tricks and insights for competitive exams and Olympiads By the end of this video, you’ll have a solid understanding of modular quadratics and the confidence to solve similar problems quickly and efficiently. 💡 Bonus: We also discuss general strategies for counting solutions in modular arithmetic, which is a critical skill for Olympiads and exams. 🔔 Subscribe for more IIT-level Number Theory tutorials, Olympiad problem-solving tips, and advanced math strategies! The playlists and links for all videos are given as below: MATHEMATICS BY IITIAN    • MATHEMATICS BY  IITIAN   Channel Name: MATHS & SCIENCE BY IITIAN Handle: @mathsciencebyiitian Email: [email protected] Kindly view, review, and comment on videos for improvement, and subscribe to my channel.