# mathematics #matholympiad | a^2 + b=73, b^2+a =73, solve for a and b

This video provides a step-by-step algebraic solution to find the values of $a$ and $b$ given the equations $a^2 + b = 73$ and $b^2 + a = 73$, under the condition that $a \\neq b$. Through subtraction, factoring, and solving a quadratic equation, the final solutions are determined to be $(9, -8)$ and $(-8, 9)$.