IMO LONGLISTED PROBLEM 1970
-
- Posts:190
- Joined:Sat Apr 23, 2011 8:55 am
- Location:Khulna
Show the equation $\sqrt{2-x^{2}}+\sqrt{3-x^{3}}=0$ has no real roots.
Re: IMO LONGLISTED PROBLEM 1970
Because both of them must be non-negative i.e. zero.
BTW older IMO (and IMO shortlist) problems are quite irrelevant to the current IMO problems. So it is advisable that you start from the problems of the 90s.
BTW older IMO (and IMO shortlist) problems are quite irrelevant to the current IMO problems. So it is advisable that you start from the problems of the 90s.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
- Tahmid Hasan
- Posts:665
- Joined:Thu Dec 09, 2010 5:34 pm
- Location:Khulna,Bangladesh.
Re: IMO LONGLISTED PROBLEM 1970
i guess that involved the cubic root of the second expression of this problem
বড় ভালবাসি তোমায়,মা