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Mathematics
Doge with shades's user avatar
Doge with shades's user avatar
Doge with shades's user avatar
Doge with shades
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Newbie at contest math, trying my best to crack Olympiads.

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4
Find the common tangent to the parabolas $y=x^{2}-6x+9$ and $y=-x^{2}-2x-1$. [closed]
Aug 19, 2023
3
How many 6-digit numbers are there that have at most 2 different digits?
Jun 11, 2023
3
Locus of the free end of a string whirled in a manner as to keep speed constant.
Jan 8
2
If $\alpha$, $\beta$ are roots of the equations $x^{2}+px+q=0$ and $x^{2n}+p^{n}x^{n}+q^{n}=0$, where $n$ is an even integer...
Jun 30, 2023
2
Using vectors, find the rate of change of distance between two particles.
Aug 24, 2023
1
If $x^{2}+y^{2}+z^{2}=5$, find the maximum value of both $x+y+z$ and $\left(x\right)^{2}+\left(2y\right)^{2}+\left(3z\right)^{2}$
Jun 17, 2023
1
From the first $2005$ natural numbers, $k$ of them are arbitrarily chosen.
Jun 29, 2023
1
Solving the functional equation $f\left(x\right)+f\left(\frac{x-1}{x}\right)=1+x$ [duplicate]
Nov 1, 2023
0
Find the number of ordered pairs $\left(a,b\right)$ such that $-15\le3a+b\le-5$ for integers $a$ and $b$ using the method of lattice points.
Jun 19, 2023
0
Let $p\left(x\right)$ be a polynomial with integer coefficients...
Jun 29, 2023