Talk:Equation of Circle in Complex Plane/Examples/z (conj z + 2) = 3

Because it doesn't describe a circle.


 * To clarify, $\paren {x + 1}^2 + \paren {y + i}^2 = 3$ doesn't describe a circle, since $y$ is real.
 * If it does, the circle would have center $\tuple {-1, -i} \notin \R^2$. RandomUndergrad (talk) 03:15, 22 April 2020 (EDT)


 * Hmm ... wonder what was going through Spiegel's mind when he wrote that? From the book:
 * $71.$ Describe and graph the locus represented by each of the following: ... (d) $z \paren {\overline z + 2} = 3$ ... Ans. ... (d) circle, ...


 * I think it needs an entry in the errata section. We remember how we were warned about the trustworthiness and accuracy of Schaum manuals at Uni. This is perhaps one reason why. --prime mover (talk) 03:57, 22 April 2020 (EDT)


 * $\implies z = \dfrac {3 - \size z^2} 2 \in \R$, surely? --prime mover (talk) 03:59, 22 April 2020 (EDT)