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Mathematics
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Mathejunior

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 3 years, 1 month
  • 390 profile views
  • Last seen Mar 4 at 4:19

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12 Proving $\left(\frac{a}{a+b+c}\right)^2+\left(\frac{b}{b+c+d}\right)^2+\left(\frac{c}{c+d+a}\right)^2+\left(\frac{d}{d+a+b}\right)^2\ge\frac{4}{9}$ Jan 12 '17
8 Is $1+\sqrt{5}$ a prime under the $\mathbb{Z}[{\sqrt{5}}]$ domain? Nov 17 '17
8 Show that infinitely many positive integer pairs $(m,n)$ exist s.t $\frac{m+1}{n}+\frac{n+1}{m} \in \mathbb{N}$ [duplicate] Oct 3 '18
6 General formula for $\sin(A_1+A_2+\cdots+A_n)$ Jul 18 '17
5 Sum of $k^\text{th}$ Powers of the First $n$ Natural Numbers is a Perfect Square. Jul 26 '17
5 Find all primes such that $a^2+b^2=9ab-13$. May 13 '17
5 Find all functions $f:\mathbb{R} \mapsto \mathbb{R}$ which satisfy $f(x^2+y f(z)) =x f(x) + z f(y)$ Dec 28 '17
5 If $f\in \mathbb{Z[x]}$ is a polynomial and $f(2^n)$ is a perfect square for all $n$, then there is a $g\in \mathbb{Z[x]}$ such that $f=g^2$ Jul 16 '18
4 If $f:\mathbb{R}\to \mathbb{R}$ is an invertible function, is it necessary that the function has to be strictly monotonic? Jul 3 '18
4 If $\lim_{x\to \infty} \left(1+\frac{a}{x}+\frac{b}{x^2}\right)^{2x} = e^2$, find $a,b\in \mathbb{R}$ May 3 '18
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