Thread: solve z^4 - (z+1)^4 = 0

1. solve z^4 - (z+1)^4 = 0

$solve \\z^4 - (z+1)^4 = 0$

something tells me that complex numbers is involved

thanks

2. Originally Posted by differentiate
$solve \\z^4 - (z+1)^4 = 0$

something tells me that complex numbers is involved

thanks
Start by recognising a difference of two squares and factorsing:

$(z^2)^2 - ((z+1)^2)^2 = 0$ .