Search found 71 matches
- Mon Mar 01, 2021 6:09 pm
- Forum: News / Announcements
- Topic: AoPS and Other Math Books
- Replies: 6
- Views: 24192
Re: AoPS and Other Math Books
i think yes
- Sat Feb 27, 2021 7:59 pm
- Forum: Algebra
- Topic: FE Marathon!
- Replies: 98
- Views: 1416361
Re: FE Marathon!
$f^2(x)=f(f(x)) $ or $f^2(x)=(f(x))^2$
- Sat Feb 27, 2021 3:56 pm
- Forum: Algebra
- Topic: FE Marathon!
- Replies: 98
- Views: 1416361
Re: FE Marathon!
$Problem 16$
Find all function such that $f:R \rightarrow R$ and
$f(xf(y)+y)+f(xy+x)=f(x+y)+2xy$
Find all function such that $f:R \rightarrow R$ and
$f(xf(y)+y)+f(xy+x)=f(x+y)+2xy$
- Sat Feb 27, 2021 12:51 pm
- Forum: Number Theory
- Topic: Existence of a prime factor>p
- Replies: 4
- Views: 6989
- Sat Feb 27, 2021 12:49 pm
- Forum: Algebra
- Topic: FE Marathon!
- Replies: 98
- Views: 1416361
Re: FE Marathon!
Yeah sorry. But is this right?
- Fri Feb 26, 2021 6:13 pm
- Forum: Algebra
- Topic: FE Marathon!
- Replies: 98
- Views: 1416361
Re: FE Marathon!
Let $P(m,n)$ be the assertion of $f(m)^2+f(n)|(m^2+n)^2$ $P(1,1)$: $f(1)^2+f(1)|4$ $f(1)(f(1)+1)|4$ implies $f(1)|4$ From this $f(1)=1$ $P(1,n)$ $1+f(n)|(1+n)^2$ If,n+1 is a prime. Then $1+f(p-1)|p^2$ Now, $f(p-1)+1=1 $ or $p $or$ p^2$ 1st case : $1+f(p-1)=1$ => $f(p-1)=0$ contradiction!! 2nd case :...
- Fri Feb 26, 2021 4:39 pm
- Forum: Social Lounge
- Topic: Let's Make The Forum Alive Again!!!
- Replies: 9
- Views: 27278
Re: Let's Make The Forum Alive Again!!!
Yeah. That's why i said me too
- Fri Feb 26, 2021 4:08 pm
- Forum: Social Lounge
- Topic: Let's Make The Forum Alive Again!!!
- Replies: 9
- Views: 27278
- Fri Feb 26, 2021 4:04 pm
- Forum: Social Lounge
- Topic: Let's Make The Forum Alive Again!!!
- Replies: 9
- Views: 27278
Re: Let's Make The Forum Alive Again!!!
Asif Hossain wrote: ↑Sat Feb 20, 2021 9:24 amIn Chittagong College??
I am also in class 11. What's your full name by the way?
UCCHASH HORE
- Fri Feb 19, 2021 3:14 pm
- Forum: Social Lounge
- Topic: Let's Make The Forum Alive Again!!!
- Replies: 9
- Views: 27278
Re: Let's Make The Forum Alive Again!!!
Ah,me too.I am in 11.You?