Question

plzz its urgent......answer fast....
Solve the equation z^2 = conjugate of z.

Answer 1

z^2=-z
z^2+z=0
z(z+1)=0
z=0,-1. ans

Answer 2

${\huge {\mathfrak {Answer :-}}}$

We have,

✨${} z^2 = - z$

${} \implies z^2 + z = 0$

${} \implies z(z + 1) = 0$

${} \implies z = 0, - 1$

Now, recheck..

${} z^2 = 0^2 = 0 = - 0 = - z..$✔️

${} z^2 = (-1)^2 = 1 = - ( - 1) = - z..$ ✔️

$<b>$ Thanks..