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• April 5th, 2020, 01:08
Here is this week's POTW: ----- Suppose that the positive integers $x, y$ satisfy $2x^2+x=3y^2+y$. Show that $x-y, 2x+2y+1, 3x+3y+1$ are all...
0 replies | 232 view(s)
• April 5th, 2020, 01:02
No one answered last week's POTW.(Sadface) Below is a suggested solution: The given function is the square of the distance between a point of the...
1 replies | 182 view(s)
• March 27th, 2020, 23:42
Here is this week's POTW: ----- Find the minimum value of $(u-v)^2+\left(\sqrt{2-u^2}-\dfrac{9}{v}\right)^2$ for $0<u<\sqrt{2}$ and $v>0$. ...
1 replies | 182 view(s)
• March 27th, 2020, 23:38
Hi MHB! I have decided to extend the deadline by another week so that our members can give this problem another shot and I am looking forward to...
1 replies | 226 view(s)
• March 20th, 2020, 02:18
Here is this week's POTW: ----- Show that the set of real numbers $x$ which satisfy the inequality \sum_{k=1}^{70}\dfrac{k}{x-k}\ge...
1 replies | 226 view(s)
• March 20th, 2020, 02:15
Congratulations to the following members for their correct solution! 1. castor28 2. lfdahl 3. kaliprasad 4. Oxide Solution from Oxide: ...
1 replies | 236 view(s)
• March 13th, 2020, 10:03
Here is this week's POTW: ----- How many perfect squares are divisors of the product $1!\cdot 2! \cdot 3! \cdots 9!$? ----- Remember to...
1 replies | 236 view(s)
• March 13th, 2020, 09:58
Congratulations to the following members for their correct solution!(Cool) 1. castor28 2. kaliprasad 3. lfdahl Solution from castor28: The...
1 replies | 277 view(s)
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