## Most Beautiful Equation

The equation $e^{i\pi}+1=0$ is often called the most beautiful equation in mathematics because it relates five of the most important numbers. Can you find an equation that relates $e,i,\pi,0,1$, and $2$.
Source: NCTM Mathematics Teacher

SOLUTION
$e^{i\pi}+1=0$
$e^{i\pi}=-1$
$\left (e^{i\pi}\right )^2=\left (-1\right )^2$
$e^{2i\pi}=1$
$e^{2i\pi}-1=0$

Answer: $e^{2i\pi}-1=0$