$g(x) : \mathbb{Z} \to \mathbb{Z}$ that satisfies
\[g(x+y)-xy=g(x)+g(y) \]
If $g(23)=0$, what is the sum of all possible values of $g(35)$?
BDMO Secondary National 2021 #5
- Mehrab4226
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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
-Henri Poincaré
Re: BDMO Secondary National 2021 #5
You stated the question wrong.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 $g(35)$?
"When you change the way you look at things, the things you look at change." - Max Planck
- Mehrab4226
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- Location:Dhaka, Bangladesh
Re: BDMO Secondary National 2021 #5
Thank, you. Updated it.Pro_GRMR wrote: ↑Sat Apr 10, 2021 6:56 pmYou stated the question wrong.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 $g(35)$?
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
-Henri Poincaré
Re: BDMO Secondary National 2021 #5
Still wrongMehrab4226 wrote: ↑Sat Apr 10, 2021 7:03 pmThank, you. Updated it.Pro_GRMR wrote: ↑Sat Apr 10, 2021 6:56 pmYou stated the question wrong.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 $g(35)$?
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
- gwimmy(abid)
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Re: BDMO Secondary National 2021 #5
the equation was $g(x) + g(y) = g(x+y) -xy$ :DMehrab4226 wrote: ↑Sat Apr 10, 2021 7:03 pmThank, you. Updated it.Pro_GRMR wrote: ↑Sat Apr 10, 2021 6:56 pmYou stated the question wrong.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 $g(35)$?
Umm....the healer needs healing...