Mathematics
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Michael Rozenberg's user avatar
Michael Rozenberg's user avatar
Michael Rozenberg's user avatar
Michael Rozenberg
  • Member for 8 years, 4 months
  • Last seen this week
  • Tel-Aviv
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I like to prove inequalities

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All Questions Answers
Score Newest
answer
108
Show that $(2,0,4) , (4,1,-1) , (6,7,7)$ form a right triangle
Jun 16, 2017
question
85
If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
Mar 7, 2017
answer
61
Why does the discriminant in the Quadratic Formula reveal the number of real solutions?
Oct 9, 2017
answer
55
How to simplify $\int{\sqrt[4]{1-8{{x}^{2}}+8{{x}^{4}}-4x\sqrt{{{x}^{2}}-1}+8{{x}^{3}}\sqrt{{{x}^{2}}-1}}dx}$?
Aug 1, 2018
answer
50
Can the product of three complex numbers ever be real?
Mar 3, 2018
answer
45
$r=\pm1$ are the only rationals with $\,r+1/r\in \Bbb Z$ (sum with its reciprocal is an integer)
Aug 19, 2017
question
44
Prove that $a\sqrt{a^2+bc}+b\sqrt{b^2+ac}+c\sqrt{c^2+ab}\geq\sqrt{2(a^2+b^2+c^2)(ab+ac+bc)}$
Jan 1, 2016
answer
41
Limit question - L'Hopital's rule doesn't seem to work
Jun 9, 2017
answer
39
Knowing that for any set of real numbers $x,y,z$, such that $x+y+z = 1$ the inequality $x^2+y^2+z^2 \ge \frac{1}{3}$ holds.
Apr 23, 2017
question
37
Inequality $\sum\limits_{cyc}\frac{a^3}{13a^2+5b^2}\geq\frac{a+b+c}{18}$
May 8, 2016
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There is a MathJax command for the GCD. What, if any, is the command for the LCM?
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Prove that $\left(\frac{x^n+1}{x^{n-1}+1}\right)^n+\left(\frac{x+1}{2}\right)^n\geq x^n+1$
11
Polynomial inequality of sixth degree
6
Polynomial inequality $n^2\sum_{i=1}^na_i^3\geq\left(\sum_{i=1}^na_i\right)^3$
6
Polynomial inequality of sixth degree
5
Inequality of two variables

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