Algebruh to Start the Day (Easy)
Source: Indonesian National Mathematical Olympiad 2024 Problem 1
August 28, 2024
algebraManipulationsystem of equationsIndonesiaInamoIndonesia MO
Problem Statement
Determine all positive real solutions to the following system of equations.
\begin{align*} \sqrt{a} + \sqrt{b} &= 6 \\ \sqrt{a-5} + \sqrt{b-5} &= 4 \end{align*}