Search found 5 matches


Thanks!

It's a prep problem, not a real one, but your answer is correct!

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: 1290

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