Mathematics
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ami_ba
  • Member for 6 years, 8 months
  • Last seen more than a week ago
  • Kolkata, West Bengal, India
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Math, math and only math

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All Questions Answers
Score Newest
question
8
How to prove that $\frac{1000!}{(500!)^2}$ is not divisible by 7?
Jan 24, 2017
question
8
Find all odd solutions for $n$ for which $3n^2+8$ is equal to a number in base $10$ which is formed by only one digit(e.g.-$222,8888888,4,99$ etc.)
Jun 25, 2018
question
7
For positve $a$, $b$, $c$, $d$ with $a+b+c+d\leq 1$, prove that $\sqrt[4]{(1-a^4)(1-b^4)(1-c^4)(1-d^4)}\geq255\cdot a b c d .$
Sep 25, 2018
question
7
Solving these two equations
Oct 21, 2017
question
5
Solving without using of Lagrange multipliers
Oct 19, 2017
answer
5
Prove that $x^2 y+ y^2 z + z^2x ≥ 2(x + y + z) − 3$
Oct 14, 2017
question
5
IMO 2017 problem #1
Jan 28, 2018
question
5
If $a,b,c$ are positive reals, then prove that $(a+b)(a+c)\ge 2 \sqrt {abc(a+b+c)}$
Sep 19, 2017
question
4
If $\alpha,a,b$ are integers and $b\neq-1$, then prove that, if $\alpha$ satisfies the equation $x^2+ax+b+1=0$, $a^2+b^2$ must be composite.
Sep 30, 2017
question
4
Find all positive integers $a,b$ such that each of the equations $x^2-ax+b=0$ and $x^2-bx+a=0$ has distinct positive integral roots.
Sep 30, 2017

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