Problem
ALG-B1-M09-P008 Sum and product
#8
★★☆☆☆ Level 2 of 5
Integers \(x,y\) satisfy \(x+y=10\), \(xy=21\). Find \(x,y\).
View \(x,y\) as roots of a quadratic equation.
The numbers \(x,y\) are roots of \(t^2-10t+21=0\). The factorization \(t^2-10t+21=(t-3)(t-7)\) gives \(\{x,y\}=\{3,7\}\).
Vieta turns the system into one equation.