anonymous 4 years ago how many roots does the equation z^4 + 16z* = 0 have? z * is the complex conjugate

1. anonymous

Multiply z on both sides z^4 + 16|z|^2 /z =0 Six Solutions

2. anonymous

OK one of the roots is z=0. Now for the nonzero roots I do understand your new equation form. However, how do you conclude 5 more roots from z^4 + 16|z|^2/z = 0?

3. anonymous

$\frac{z^5+16|z|^2}{z}=0$ get it

4. anonymous

YOu are in 11th grade preparing for JEE

5. anonymous

They include complex roots