A cubic game
Brilli the Ant and Brian Till are at it again. Unlike last time, they are playing the cubic game.
In one move, Brilli is going to choose a real number and Brian puts it in one of the empty spaces in the cubic equation below:
After 3 moves, the game is over. Brilli wins the game if the final equation has 3 distinct integer roots.
Who has the winning strategy?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
I think that Brilli gets to choose the numbers. So, he can plan beforehand what Brian is going to do. But Brian can only arrange the numbers. So, it might happen that Brian won't be able to arrange the numbers successfully so that Brilli loses the game. Thus, Brilli can have a winning strategy.