If there are n teams in a league andeach team plays each other twice in a season,the total number of games is given by the polynomial n^2-n=N. A women basketball league plays a toal of 72 games.How many teams are in the league?
There are ___ teams in the league
+33665 This means you have n^2 - n = 72
Rewrite as n^2 - n - 72 = 0
This can be factored as (n + 8)(n - 9) = 0
The two possible mathematical solutions are n = 9 and n = -8. Hpowever, you can't have a negative number of teams, so the only practical solution is n = 9 teams.
