Pairs of $p, q$
Posted: Tue Mar 15, 2016 9:16 pm
Let $z, w \in \mathbb{C}$. Find all pairs of $p, q$ that verify:
$$\left|z+w\right|^2 = p|z|^2 +q|w|^2$$
$$\left|z+w\right|^2 = p|z|^2 +q|w|^2$$
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