Search found 5 matches
- by lime777
Tue Feb 05, 2013 8:51 pm- Forum: Problem Solving
- Topic: Hard 800 problem
- Replies: 3
- Views: 1146
Hard 800 problem
Is there a positive integer x such that the fraction (8x+3)/(6x+2) is not in lowest terms? Why or why not?
I will post answer keys later. This is out of the intense prep. course, that's why it's in a bit different format, but wanted to see if anybody can crack it.
- by lime777
Mon Feb 04, 2013 10:47 pm- Forum: Problem Solving
- Topic: Hard 800 problem
- Replies: 3
- Views: 1146
Another 800 problem
Is there a value of x such that x^2 + x + 1 is a multiple of 5? Explain.
Answers will be posted later.
- by lime777
Mon Feb 04, 2013 10:44 pm- Forum: Problem Solving
- Topic: Another 800 problem
- Replies: 2
- Views: 930
Tough problem
Find, with justification, all positive integers n such that 2^2 + 2^5 + 2^n is a perfect square.
Another one out of the tough rep. course, can't figure it out.
Answers will be posted later.
- by lime777
Mon Feb 04, 2013 10:43 pm- Forum: Problem Solving
- Topic: Tough problem
- Replies: 3
- Views: 1289
800+ problem
How many pairs of positive integers x and y satisfy the equation x^y = 2013^2013 ? Explain
How many pairs of positive integers x and y satisfy the equation x^y = 2012^2012 ? Explain
This one is out of this rigorous prep course, no answer keys yet.
- by lime777
Mon Feb 04, 2013 10:41 pm- Forum: Problem Solving
- Topic: 800+ problem
- Replies: 1
- Views: 1525