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Negative Discriminant's user avatar
Negative Discriminant's user avatar
Negative Discriminant's user avatar
Negative Discriminant
  • Member for 1 year, 4 months
  • Last seen more than a week ago
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5
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13
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100
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6
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8
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62
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31
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5
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7
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54
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Top posts

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5
Proving an discrete three variable inequality using tangent line trick.
Feb 6, 2025
5
Showing $\frac{a^2+1}{a+1}+\frac{b^2+1}{b+1}+\frac{c^2+1}{c+1}\geq3$ for non-negative reals such that $a^3+b^3+c^3+3abc=6$
Feb 16, 2025
4
prove that $(a^2+1)(b^2+1)(c^2+1)(d^2+1)\geq (a+b+c+d)^2$
Nov 2, 2025
3
If $a,b,c\in\Bbb R^+$ and $a + b + c = 2$, prove that $\sqrt{9-8ab}+\sqrt{9-8bc}+\sqrt{9-8ca}\ge7$.
May 2, 2025
3
An inequality from Romania
Feb 16, 2025
2
Proving a very tight inequality
Feb 10, 2025
2
Proving $ \sum_{cyc} \frac{1}{a^6 + b^6 + 3c^3 + 4} \leq \frac{3}{3 + 2(\sqrt{ab} + \sqrt{bc} + \sqrt{ca})}$
Feb 13, 2025
2
Prove $\frac{1}{\sqrt{5a+4}}+\frac{1}{\sqrt{5b+4}}+\frac{1}{\sqrt{5c+4}}\geq1$ for $ab + bc + ca = 3$
Feb 25, 2025
2
Showing $\frac{a^2+1}{a+1}+\frac{b^2+1}{b+1}+\frac{c^2+1}{c+1}\geq3$ for non-negative reals such that $a^3+b^3+c^3+3abc=6$
May 2, 2025
1
Proving an discrete three variable inequality using tangent line trick.
Feb 7, 2025