MathDB

In the notebooks of Peter and Nick, two numbers are written. Initially, these two numbers are 1 and 2 for Peter and 3 and 4 for Nick. Once a minute, Peter writes a quadratic trinomial

f(x)

, the roots of which are the two numbers in his notebook, while Nick writes a quadratic trinomial

g(x)

the roots of which are the numbers in his notebook. If the equation

f(x)=g(x)

has two distinct roots, one of the two boys replaces the numbers in his notebook by those two roots. Otherwise, nothing happens. If Peter once made one of his numbers 5, what did the other one of his numbers become?

Problem Statement