Mathematics
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Top posts (46) All Questions Answers | Votes Newest

19 Solving $f(yf(x)+x/y)=xyf(x^2+y^2)$ over the reals Mar 21
9 Given a three digit number $n$, let $f(n)$ be the sum of digits of $n$, their products in pairs, and the product of all digits. When does $n=f(n)$? Nov 19 '18
7 Prove Fibonacci Sequence Property: $x^2_n + x^2_{n+1}=x_{2n+1}$ Jan 8
5 Proving that there is an element common to all $35$ sets given certain set restrictions Nov 19 '18
5 Find all functions $f:\Bbb{R} \to \Bbb{R}$ such that for all $x,y,z \in \Bbb{R} $ , $f(f(x)+yz)=x+f(y)f(z)$ Mar 31
4 If $pqr(p+q+r)$ is a square and $p,q,r$ are primes, then what's the maximum value of $p+q+r$? Aug 26 '18
3 Find all functions for $f:\Bbb{N}\to\Bbb{N}$ such that $f\left(m^2+f(n)\right)=f\left(m^2\right) +n$ Jun 23
2 (Olympiad Question) $f(2x) + 2f(y) = f(f(x+y))$ Jul 18
2 Angle chasing with a marked point within a regular hexagon Aug 25 '18
2 Proof of polynomial divisibility without using complex numbers? Dec 28 '18
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