2
While solving a question given by my friend I found a problem in finding the real roots, I tried the question many times but I could not find any real solution of that equation.
The equation was:
$5x^2-5y^2-8xy-2x-4y+5=0$
Please help me to find its real solution
I have got a question which is as follow:
Determine $x,y,z ∈ R$ such that $2x^2+y^2+2z^2-8x+2y-2xy+2xz-16z+35=0$.
This is a quite filthy looking equation and I know that solving it must involve some factorisation etc, but the problem is my thoughts are not seeming to work on paper.
I need...6
Recently a new prime number has been discovered, which eliminates one of the six remaining candidates for the smallest Sierpinski numbers. So I was reading the wikipedia article about the Sierpinski number, where I came across what is called a covering set of primes for a Sierpinski number. Diffe...
In number theory, a Sierpinski or Sierpiński number is an odd natural number k such that
k
×
2
n
+
1
{\displaystyle k\times 2^{n}+1}
is composite, for all natural numbers n. In 1960, Wacław Sierpiński proved that there are infinitely many odd integers k which have this property.
In other words, when k is a Sierpiński number, all members of the following set are composite:
{
k
2
...
3
The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e., it is a mathematically generated pattern that can be reproducible at any magnification or reduction. It is named after the Polish mathematician Wacław Sierpiński, but appeared as a decorative pattern many centuries prior to...
