Ellie E.

asked • 06/29/23

By completing the square, how many teams are in a league? (Full question in description.)

The number of baseball games that must be scheduled in a league with n teams is given by G(n)=(n2 -n)/2, where each team plays every other team exactly once. A league schedules 28 games. By completing the square, how many teams are in the league?

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Richard C. answered • 06/29/23

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Ellie E.

Thank you so much!!
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06/29/23

Will D.

Hi, this doesn't affect the answer, but when you add 1/2 to both sides, the negative answer should be -15/2 + 1/2 = -14/2 = -7. This makes sense since factoring would have given (n - 8)(n + 7).
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06/29/23

Will D. answered • 06/29/23

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Ellie E.

Thank you so much!!
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06/29/23

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