## Search found 86 matches

- Tue Dec 20, 2016 11:03 am
- Forum: Number Theory
- Topic: All Russian Olympiad 2009
- Replies:
**0** - Views:
**755**

### 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:
**2620**

### 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:
**2620**

### 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:
**1300**

### 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:
**1493**

### 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:
**1493**

### 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:
**2068**

### 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:
**1391**

### 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:
**1681**

### 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:
**964**

### 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