A Quadratic Game
Today, they are going to play the quadratic game.
Brilli is going to pick 3 non-zero real numbers and Brian is going to arrange the three numbers as the coefficients of a quadratic equation
_ \(x^2 +\) _ \(x +\) __ \(= 0\)
Brilli wins the game if and only if the resulting equation has two distinct rational solutions.
Who has a winning strategy?