Search found 86 matches
- Tue Dec 20, 2016 11:03 am
- Forum: Number Theory
- Topic: All Russian Olympiad 2009
- Replies: 0
- Views: 2167
All Russian Olympiad 2009
Let $ x$, $ y$ be two integers with $ 2\le x, y\le 100$. Prove that $ x^{2^n} + y^{2^n}$ is not a prime for some positive integer $ n$.
- Mon Dec 19, 2016 11:32 pm
- Forum: Site Support
- Topic: Problem! Help anybody!
- Replies: 4
- Views: 13443
Re: Problem! Help anybody!
This time I've got something like this
- Mon Dec 19, 2016 9:26 pm
- Forum: Site Support
- Topic: Problem! Help anybody!
- Replies: 4
- Views: 13443
Problem! Help anybody!
ল্যাপ্টপ বা কম্পিউটার দিয়ে aops community তে গেলে লোড হয়ে এরকম হয়ে যায় (নিচে ছবি)। অথচ মোবাইলে ঠিকই চলে। কি করব??
- Mon Dec 19, 2016 9:01 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2008: Secondary
- Replies: 5
- Views: 3948
BdMO National 2008: Secondary
The function $f (x) $ is a complicated nonlinear function. It satisfies, $ f(x) + f(1-x) = 1 $ . Evaluate $ \int_{0}^{1} f(x)dx $.
- Sun Dec 18, 2016 1:15 pm
- Forum: Junior Level
- Topic: Find $$<x+<y$$
- Replies: 4
- Views: 4269
Re: Find $$<x+<y$$
Use this formula: $(n-2) \times 180^{\circ} $ for measuring the sum of the internal angles of a regular $n$-gon. Now try to think about it.
- Sun Dec 18, 2016 12:54 am
- Forum: Junior Level
- Topic: Find $$<x+<y$$
- Replies: 4
- Views: 4269
Re: Find $$<x+<y$$
( $360^{\circ}$ $-$ $x$ ) $+$ ( $360^{\circ}$ $ - $ $y$ ) = $720^{\circ}$ $ -$ ( $ 30^{\circ}$ $+$ $45^{\circ}$ $+$ $50^{\circ}$ $+$ $25^{\circ}$ )
$ \Rightarrow $ $x$ $+$ $y$ = $150$
$ \Rightarrow $ $x$ $+$ $y$ = $150$
- Sat Dec 17, 2016 11:45 pm
- Forum: Geometry
- Topic: Heros of 71 (Geometry)
- Replies: 7
- Views: 5739
Re: Heros of 71 (Geometry)
LOL Nahin Munkar! This post was just two years ago! But I got the solution myself that time (very long ago)nahin munkar wrote:kazi zareer actually wants the total manipulation of this result. (He already makes me mad in the class..)
I will post it later for you !
- Sat Dec 17, 2016 9:46 pm
- Forum: Junior Level
- Topic: NUMBER THEORY PROBLEM....
- Replies: 4
- Views: 4051
Re: NUMBER THEORY PROBLEM....
jayon wrote:if $$x=1$$ , then $$।x−4।$$ will be a negative number ..?!
Do you read about absolute value?
https://en.wikipedia.org/wiki/Absolute_value
- Sat Dec 10, 2016 6:27 pm
- Forum: Junior Level
- Topic: BDMO 2013 QUE-9
- Replies: 5
- Views: 4682
Re: BDMO 2013 QUE-9
This problem was posted earlier. You can find it through this link here below:
http://www.matholympiad.org.bd/forum/vi ... =13&t=2919
http://www.matholympiad.org.bd/forum/vi ... =13&t=2919
- Sat Dec 10, 2016 6:22 pm
- Forum: Junior Level
- Topic: Guards in a museum
- Replies: 2
- Views: 3258
Re: Guards in a museum
See the book named "The Art and Craft of Problem Solving " page number 61, Example 2.4.3 for solution