MathDB

P1

Part of 2017 Azerbaijan Junior National Olympiad

Problems(1)

A system of equation with squares/roots for real numbers

Source: 2017 Azerbaijan Junior/Senior National Olympiad

4/28/2022
Solve the system of equation for (x,y)∈R(x,y) \in \mathbb{R} {x2+y2+(x−4)2+(y−3)2=53x2+4xy=24\left\{\begin{matrix} \sqrt{x^2+y^2}+\sqrt{(x-4)^2+(y-3)^2}=5\\ 3x^2+4xy=24 \end{matrix}\right. \\ Explain your answer
system of equationsalgebra