Question Number 55671 by gunawan last updated on 01/Mar/19 | ||
$$\mathrm{Let}\:\mathrm{z}\:\in\:\mathbb{C}\:,\:\mathrm{so}\:\mid\mathrm{1}+{z}^{\mathrm{2}} \mid<\mathrm{1}. \\ $$ $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{2}\mid\mathrm{1}+{z}^{\mathrm{2}} \mid\geqslant\mathrm{1} \\ $$ | ||