Birthdays

In the classroom, students always give candy to their classmates on their birthdays. The birthday person always gives each one candy, and he does not give himself. A total of 650 candies were distributed in the class per year. How many students are in the class? (Note: All students in the class had a birthday on the day of the class. )

Correct result:

n =  26

Solution:

n(n1)=650  n (n1)=650 n2n650=0  a=1;b=1;c=650 D=b24ac=1241(650)=2601 D>0  n1,2=b±D2a=1±26012 n1,2=1±512 n1,2=0.5±25.5 n1=26 n2=25   Factored form of the equation:  (n26)(n+25)=0  n=n1=26

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