BDMO Secondary National 2021 #5

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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Mehrab4226
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BDMO Secondary National 2021 #5

Unread post by Mehrab4226 » Sat Apr 10, 2021 1:21 pm

$g(x) : \mathbb{Z} \to \mathbb{Z}$ that satisfies

\[g(x+y)-xy=g(x)+g(y) \]
If $g(23)=0$, what is the sum of all possible values of $g(35)$?
Last edited by Mehrab4226 on Sat Apr 10, 2021 7:06 pm, edited 2 times in total.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

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Pro_GRMR
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Re: BDMO Secondary National 2021 #5

Unread post by Pro_GRMR » Sat Apr 10, 2021 6:56 pm

Mehrab4226 wrote:
Sat Apr 10, 2021 1:21 pm
$g(x) : \mathbb{Z} \to \mathbb{Z}$ that satisfies

\[g(x)+y)=g(x)+g(y)-xy \]
If $g(x)=0$, what is the sum of all possible values of $g(35)$?
You stated the question wrong.
"When you change the way you look at things, the things you look at change." - Max Planck

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Mehrab4226
Posts:230
Joined:Sat Jan 11, 2020 1:38 pm
Location:Dhaka, Bangladesh

Re: BDMO Secondary National 2021 #5

Unread post by Mehrab4226 » Sat Apr 10, 2021 7:03 pm

Pro_GRMR wrote:
Sat Apr 10, 2021 6:56 pm
Mehrab4226 wrote:
Sat Apr 10, 2021 1:21 pm
$g(x) : \mathbb{Z} \to \mathbb{Z}$ that satisfies

\[g(x)+y)=g(x)+g(y)-xy \]
If $g(x)=0$, what is the sum of all possible values of $g(35)$?
You stated the question wrong.
Thank, you. Updated it.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

User avatar
Pro_GRMR
Posts:46
Joined:Wed Feb 03, 2021 1:58 pm

Re: BDMO Secondary National 2021 #5

Unread post by Pro_GRMR » Sat Apr 10, 2021 7:05 pm

Mehrab4226 wrote:
Sat Apr 10, 2021 7:03 pm
Pro_GRMR wrote:
Sat Apr 10, 2021 6:56 pm
Mehrab4226 wrote:
Sat Apr 10, 2021 1:21 pm
$g(x) : \mathbb{Z} \to \mathbb{Z}$ that satisfies

\[g(x)+y)=g(x)+g(y)-xy \]
If $g(x)=0$, what is the sum of all possible values of $g(35)$?
You stated the question wrong.
Thank, you. Updated it.
Still wrong
Also let's delete the later posts after were done.
\[g(x+y)-xy=g(x)+g(y) \]
Last edited by Pro_GRMR on Sat Apr 10, 2021 7:05 pm, edited 1 time in total.
"When you change the way you look at things, the things you look at change." - Max Planck

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gwimmy(abid)
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Joined:Tue Apr 06, 2021 11:23 am

Re: BDMO Secondary National 2021 #5

Unread post by gwimmy(abid) » Sat Apr 10, 2021 7:05 pm

Mehrab4226 wrote:
Sat Apr 10, 2021 7:03 pm
Pro_GRMR wrote:
Sat Apr 10, 2021 6:56 pm
Mehrab4226 wrote:
Sat Apr 10, 2021 1:21 pm
$g(x) : \mathbb{Z} \to \mathbb{Z}$ that satisfies

\[g(x)+y)=g(x)+g(y)-xy \]
If $g(x)=0$, what is the sum of all possible values of $g(35)$?
You stated the question wrong.
Thank, you. Updated it.
the equation was $g(x) + g(y) = g(x+y) -xy$ :D
Umm....the healer needs healing...

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