Mathematics
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Hamid Reza Ebrahimi

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

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  • Member for 5 years, 7 months
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  • Last seen Sep 18 '20 at 4:33

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10 Show that among any consecutive $16$ natural numbers one is coprime to all others May 11 '16
9 For function $f:[0,1]\rightarrow \Bbb R$ we know : $f(x+y)\geq f(x)+f(y)$.Prove that $f(x)\leq 2x$ Nov 4 '17
9 Verify surjectivity of the function $f$ satisfying: $f(x)+f(x^2)=x$ Jan 1 '18
7 Find all positive integers satisfying: $x^5+y^6=z^7$ Jul 12 '16
6 What's $\alpha+\beta$ if we have: $\alpha^3-6\alpha^2+13\alpha=1$ and $\beta^3-6\beta^2+13\beta=19$ ($\alpha$ and $\beta$ are Real) Feb 18 '16
6 Find all polynomials with real coefficients $P(x),Q(x)$ such that for every real number $x$ we have: $P(Q(x))=P(x)^{2017}$ Aug 14 '17
5 Find all positive integers $k,m,n$ satisfying: $\frac1k+\frac1m+\frac1n=\frac{1}{1996}$ Jul 11 '16
5 Solve the following nonlinear system of equations:$ xy+xz+yz=12 , xyz=2+x+y+z$ Sep 13 '17
5 Show that $1^7+7^7+13^7+19^7+23^7\equiv{0}\pmod{63}$ Jun 4 '16
5 Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$ Jul 14 '16
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