A problem of quadratic equation of one variable A volleyball invitational tournament should be organized in a certain place. Every two teams participating in the tournament should have a match. According to the venue and time conditions, the first round of the tournament is planned to be 4 days and 7 matches a day. How many teams should the organizer invite to participate in the tournament

A problem of quadratic equation of one variable A volleyball invitational tournament should be organized in a certain place. Every two teams participating in the tournament should have a match. According to the venue and time conditions, the first round of the tournament is planned to be 4 days and 7 matches a day. How many teams should the organizer invite to participate in the tournament

First of all, this kind of competition is called the single round robin competition system. Every two teams have to compete one game, and score according to the number of wins and losses (there is no draw in volleyball). For example, 3 points will be added for winning one game, and no points will be added for losing one game. The scoring rules and methods are different for different games. Therefore, if n teams are set up to participate in the competition, then the first team will compete (n-1)