USAMO 2019: Discover the Only Two Integer Pairs That Solve This Challenging Equation!
Problem Statement: Find all pairs of integers \((x,y)\) such that: \(x^2 + y^2 + 7 = 3xy\) 🧠 Step 1: Rearrange the Given Equation First, rearrange the given equation: \( x^2 + y^2 + 7 = 3xy\) Bring all terms to one side: \( x^2 + y^2 – 3xy + 7 = 0\) 🔍 Step […]
USAMO 2019: Discover the Only Two Integer Pairs That Solve This Challenging Equation! Read More »