Mathematics
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Neat Math's user avatar
Neat Math's user avatar
Neat Math
  • Member for 2 years, 7 months
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9
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View all questions and answers
All Questions Answers
Score Newest
answer
7
inequality $\frac{2(x + y)^2}{2x^2 + y^2} \leq 3$
Nov 27, 2020
answer
7
Question on the 2020 RMO.
Jan 12, 2021
answer
5
What is the remainder when $1^{2016} + 2^{2016} + ⋯ + 2016^{2016}$ is divided by $2016$?
Jan 4, 2021
question
5
Prove or disprove that $x_1 = x_2= \cdots = x_n$, if $x_1^{x_2} = x_2^{x_3} = \cdots = x_{n-1}^{x_n} = x_n^{x_1}$, $x_i > 1, \forall 1 \le i \le n$.
Dec 18, 2020
answer
5
If $m,n\in N$ Prove that there is such a positive integer k, such that $(\sqrt{m}+\sqrt{m+1})^n=\sqrt{k}+\sqrt{k+1}$
Jan 3, 2021
answer
5
How many integers between $1$ and $1000$ are divisible by $2, 4,$ or $7?$
Jan 1, 2021
answer
5
Extreme values of $2\cos^2 \frac{x}{2}\cdot\sin^2 x$ without calculus
Dec 9, 2020
answer
4
Convergence of sum given convergence of sequence
Dec 6, 2020
answer
4
Find the maximum and minimum value of $2x^2 + y^2 + z^2$ subject to $x + y + z = 10$.
Dec 28, 2020
answer
4
Randomly take $51$ numbers from the set 1, 2, ..., 159. Find variance of their sum.
Dec 1, 2020

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