Question

The number of games, g, to be played with n teams can be written by the following equation: g=n^2-n if there are to be 132 games how many teams are in the league

Answer 1

The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n

Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)

Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12