- #1
Alesak
- 111
- 0
hello everyone,
I usually post my questions on one small czech mathematical forum, but here is an equation no one knows how to "solve". I`ve came to it by accident, when I made an mistake in one combinatorics equation.
[tex]x! + (x-3)! = 16x - 24[/tex]
its fairly simple to solve in one way(x has to be greater than 2, and from some point left side is greater than right side, because (x-3)! is always greater then 0 and we don`t have to care about -24 on the right side, so we can check for which x is x! > 16x. this leaves us only very few possibilities for x to check).
this is nice, but I`d like to know if its possible to get it in form x = something. I can`t think of any way how to do it.
also, this equation doesn`t have any solution, its rather theoretical question.
I usually post my questions on one small czech mathematical forum, but here is an equation no one knows how to "solve". I`ve came to it by accident, when I made an mistake in one combinatorics equation.
[tex]x! + (x-3)! = 16x - 24[/tex]
its fairly simple to solve in one way(x has to be greater than 2, and from some point left side is greater than right side, because (x-3)! is always greater then 0 and we don`t have to care about -24 on the right side, so we can check for which x is x! > 16x. this leaves us only very few possibilities for x to check).
this is nice, but I`d like to know if its possible to get it in form x = something. I can`t think of any way how to do it.
also, this equation doesn`t have any solution, its rather theoretical question.