Two math problems in http://projecteureka.org sumitted by me.
2010-01-03 13:57
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http://projecteureka.org/problem/question/814
Problem 814 - Tringles whose perimeter are 12345
Count different Tringles whose all 3 side lengths are integers and perimeter are 12345.
Solution Format/Example: 98765
Figure:
http://projecteureka.org/problem/question/815
Problem 815 - Find the smallest pair of a,b
We can prove that for any positive integer n>1,there exists integer pairs of a,b which n=(a^2+b)/(a+b^2) and a>b>1
e.g.
13=(19^2+3)/(19+3^2)
If n=202, find the smallest pair of a and b
Solution Format/Example: 1089,108
Problem 814 - Tringles whose perimeter are 12345
Count different Tringles whose all 3 side lengths are integers and perimeter are 12345.
Solution Format/Example: 98765
Figure:
http://projecteureka.org/problem/question/815
Problem 815 - Find the smallest pair of a,b
We can prove that for any positive integer n>1,there exists integer pairs of a,b which n=(a^2+b)/(a+b^2) and a>b>1
e.g.
13=(19^2+3)/(19+3^2)
If n=202, find the smallest pair of a and b
Solution Format/Example: 1089,108
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