311 reputation
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visits member for 2 years, 7 months
seen Sep 22 at 21:02

Sep
30
awarded  Popular Question
Aug
9
awarded  Popular Question
Jul
2
awarded  Curious
Jun
5
answered 'Obvious' theorems that are actually false
Jan
21
accepted Is there any pythagorean triple (a,b,c) such that $a^2 \equiv 1 \bmod b^{2}$
Jul
22
comment Is there any pythagorean triple (a,b,c) such that $a^2 \equiv 1 \bmod b^{2}$
awesome - thank you!
Jul
18
awarded  Nice Question
Jul
16
comment Nature of a triangle with vertices $z_1, z_2$ and $-1$ such that $|z_1|=|z_2|=1=z_1+z_2$
|z1|=|z2|=1 means that z1 and z2 lie on the unit circle. z1+z2=1 means that the imaginary parts cancel out - i.e. z1 and z2 lie on a vertical line - so what do the real parts have to be?
Jul
16
comment How many real roots does $(x-a)^3+(x-b)^3+(x-c)^3$ have?
yeap, that's the key, and all that is needed
Jul
16
awarded  Teacher
Jul
15
comment Is there any pythagorean triple (a,b,c) such that $a^2 \equiv 1 \bmod b^{2}$
sweet, I did see the second equation but had no idea how to use it
Jul
15
answered Pigeonhole principle: show that a class of nine has at least five male or five female students.
Jul
15
asked Is there any pythagorean triple (a,b,c) such that $a^2 \equiv 1 \bmod b^{2}$
Jul
15
awarded  Yearling
Jul
15
accepted Find $m, n$ such that $\frac{n^2 + 1}{m^2 + 1 }$ is an integer multiple of a perfect square
Jul
14
comment Find $m, n$ such that $\frac{n^2 + 1}{m^2 + 1 }$ is an integer multiple of a perfect square
(1) Sweet, that makes sense. (2) How did you go about finding (18,5)?
Jul
14
awarded  Commentator
Jul
14
comment Find $m, n$ such that $\frac{n^2 + 1}{m^2 + 1 }$ is an integer multiple of a perfect square
@CalvinLin thanks, that's nice for $d=5$, but right now I'm after $d=2$ and the actual theory/approach to this kind of a problem
Jul
14
asked Find $m, n$ such that $\frac{n^2 + 1}{m^2 + 1 }$ is an integer multiple of a perfect square
Jan
11
accepted Show $15x^{2} - 7y^{2} = 9$ has no integer solutions