Number Of Solutions for the equation: $a^2 - b^2 = X$
121469
Proof of observations on natural numbers being expressed as differences of squares.
77990
How many solutions $X^{10} - I=0$ has in $M_2(\mathbb{R})$?
112575
Finding integer solutions of $m^2-n^5 = m - n$
26081
What will be total number of solutions of $a+b+c = n$?
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
112390
Solutions of $x^2 \equiv 1 \pmod N$
24837
$x^2+1=0$ uncountable many solutions
136933
Which $n$ can be expressed as $x^2 − y^2$?
103304
Finding the number of solutions to a diophantine equation
1001
Number of integer solutions of $x^2 + y^2 = k$
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
51153
Number of solutions to $x^2\equiv a\pmod m$
118266
If $f^2(b) - f^2(a) = b^2 - a^2$, then the equation $f'(x)f(x) = x$ has at least one root in (a, b).
137015
Solutions for $a^2+b^2+c^2=d^2$
90261
Find all solutions of the equation $n^m=x^2+py^2$ which satisfy the following properties
103993
Find all real solutions for $x$ in $2(2^x−1)x^2+(2^{x^2}−2)x=2^{x+1}−2$.