SOLUTION: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played by N=n2 – n. How many teams are in a softball league if

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Question 187522: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played by N=n2 – n.
How many teams are in a softball league if the total number of games played is 42?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played by: N = n^2 – n.
:
How many teams are in a softball league if the total number of games played is 42?
:
n^2 - n = 42
:
n^2 - n - 42 = 0; A quadratic equation
factors to:
(n-7)(n+6) = 0
The positive solution
n = 7 teams
:
:
Check solution in original equation:
N = 7^2 - 7
N = 42