Tournament 61544

In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match?

Correct answer:

n =  19

Step-by-step explanation:

(2n)=2n (n1)=171  n(n1)=2171  n (n1)=2 171 n2n342=0  a=1;b=1;c=342 D=b24ac=1241(342)=1369 D>0  n1,2=2ab±D=21±1369 n1,2=21±37 n1,2=0.5±18.5 n1=19 n2=18   Factored form of the equation:  (n19)(n+18)=0  n>0 n=n1=19

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