Proper sitting of Delegates
by Math-Problem-Solving, Apr 3, 2025, 10:13 AM
Attachments:
and 
Prove that
Mmo 9-10 graders P5
by Bet667, Apr 3, 2025, 6:54 AM
Let 
be real numbers less than 2.Then prove that 
be real numbers less than 2.Then prove that 
This post has been edited 2 times. Last edited by Bet667, 4 hours ago
Reason: Kkk
Reason: Kkk
Inequality
by SunnyEvan, Apr 1, 2025, 9:54 AM
Let 
, 
, 
be non-negative real numbers, no two of which are zero. Prove that :
, 
, 
be non-negative real numbers, no two of which are zero. Prove that :
and 
Prove that
$x^{y^2+1}+y^{x^2+1}=2^z$
by Zahy2106, Mar 25, 2025, 4:32 PM
Find all 
safisty: 
safisty: 
This post has been edited 1 time. Last edited by Zahy2106, Mar 25, 2025, 4:33 PM
Reason: Fixed
Reason: Fixed
The last nonzero digit of factorials
by Tintarn, Mar 17, 2025, 12:21 PM
For each integer 
we consider the last digit different from zero in the decimal expansion of 
. The infinite sequence of these digits starts with 
. Determine all digits which occur at least once in this sequence, and show that each of those digits occurs in fact infinitely often.
we consider the last digit different from zero in the decimal expansion of 
. The infinite sequence of these digits starts with 
. Determine all digits which occur at least once in this sequence, and show that each of those digits occurs in fact infinitely often.
.
and satisfy 
.
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