Find all solutions to the equation $(z+1)^6=z^6$. Express the solutions in simplified rectangular form. Hint: Clearly $z=0$ is not a solution.
100761
Find all $x$ such that $x^6 = (x+1)^6$.
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
89677
Why there isn't any integer solutions in non-zero integers for $z^3 = 3(x^3 +y^3+2xyz)$?
44250
rational number solutions to $\frac{a}{a^2+1} + \frac{b}{b^2+1} = \frac{c}{c^2+1}$ with $abc\ne 0$
143281
How to solve $z^2-(1-3i)z-2i-2=0$
73160
Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
61022
Diophantine Equations : Solving $a^2+ b^2=2c^2$
7651
Solve $e^{4z} +e^{3z} + e^{2z} + e^z + 1 = 0$.
71756
diophantine equation: $x^2 +y^2 = z^n$
89319
How can I find all the solutions of $\sin^5x+\cos^3x=1$
28274
Prove that $x^2 + y^2 = 3(z^2 + m^2)$ has no solutions in integer
75721
No. of real solutions of the equation $2 \cos (\frac{x^2 + x}{6}) = 2^x + 2^{-x} $
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
109304
The roots of the equation $z^n=(1+z)^n$...
62161
Solutions of the Pell-type equation $x^2-2y^2=-1$
85917
Solve $(x+1)^y-x^z=1$
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $