Meeting handshake count

After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?

Final Answer:

n =  15

Step-by-step explanation:

n (n1)/2=105  n (n1)/2=105 0.5n20.5n105=0  a=0.5;b=0.5;c=105 D=b24ac=0.5240.5(105)=210.25 D>0  n1,2=2ab±D=10.5±210.25 n1,2=0.5±14.5 n1=15 n2=14  n=n1=15

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