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Mathematics
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cosmo5
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answer
15
Easy way to see that $(x^2 + 5x + 4)(x^2 + 5x + 6) - 48 = (x^2 + 5x + 12)(x^2 + 5x - 2)$?
Nov 22, 2020
answer
11
(AIME 1994) $ \lfloor \log_2 1 \rfloor + \lfloor \log_2 2 \rfloor + \ldots + \lfloor \log_2 n \rfloor = 1994 $
Oct 28, 2020
answer
11
Partition the remaining rectangle into equal parts.
Jan 16, 2021
answer
10
Prove ${M}\choose{N_1}$ ${M}\choose{N_2}$ $\leq$ ${2M}\choose{N_1+N_2}$ for $M, N_1, N_2 \in \mathbb{N},\,M\geq N_1,N_2$.
Dec 1, 2020
answer
10
Where did I go wrong in applying the factor theorem?
Oct 19, 2020
answer
9
Can $S_n=a_1a_2+a_2a_3+\cdots+a_na_1=0$ if $a_i=±1$ for $n=28$ and $n=30$?
Jan 10, 2021
question
7
Maximum capacity of box without using Calculus?
Oct 9, 2020
answer
7
A problem related to $\int_{0}^{1} f(x)(x-f(x))dx=1/12$
Nov 11, 2020
answer
7
SMO problem: Sequence and series.
Mar 7, 2021
answer
6
Prove that the lines parallel to the angle bisectors through the midpoints of sides of a triangle are concurrent at the Spieker center
Apr 17, 2021