Given $x^2+xy+y^2=0$
125057
How do I solve a problem with term $a^{n} + b^{n}$?
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
106934
$x^x=y$. How to solve for $x$?
22004
Inverse of $y = x^3 + x $?
28274
Prove that $x^2 + y^2 = 3(z^2 + m^2)$ has no solutions in integer
50760
Solutions to $y^2 = x^3 + k$?
82016
Given $p^2+q^2+r^2+1=s+\sqrt{p+q+r-s}$, solve for $s$
24837
$x^2+1=0$ uncountable many solutions
26287
Find $\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}$ if $a+b+c=0$
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
143375
Showing that $\lim_{(x,y) \to (0, 0)}\frac{xy^2}{x^2+y^2} = 0$
73716
Let $x,y,z>0$ and $x+y+z=1$, then find the least value of ${{x}\over {2-x}}+{{y}\over {2-y}}+{{z}\over {2-z}}$
44020
Probability of $x^2+bx+c=0$ having real roots
147442
Quadratic Diophantine Equation $x^2 + axy + y^2 = z^2$
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
120736
If xy + yz + zx = 1, ...........
127901
If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$