Seemingly simple system of equations $x^{2} + y = 31$ and $x + y^{2} = 41$
65849
What are the common solutions of $x^2+y=31$ and $y^2+x=41$?
6911
Solving 4 Quadratic Simultaneous Equations
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
88760
Find the integral solutions to $ x^2+y^2+z^2=x^2y^2$
22840
The sum of the first $n$ squares is a square: a system of two Pell-type-equations
70147
Solving $x^4 -10x^3 + 26x^2 -10x +1 = 0$.
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
10635
diophantine equations $x^3-2y^3=1$
5595
$x^y = y^x$ for integers $x$ and $y$
93123
Systems of linear equations to calculate $\alpha$ and $\beta$
30331
Steps to solve this system of equations: $\sqrt{x}+y=7$, $\sqrt{y}+x=11$
103165
the number of the positive integer numbers $k$ that makes for the two quadratic equations $ \pm x^2 \pm px \pm k$ rational roots.
145287
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
20705
On equations $m^2+1=5^n$
53042
Find solutions to $\varphi\left(n\right)=2^{32}$
121742
Solve a system of equations with Euclid's Algorithm
117392
Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?