Business, 07.07.2020 23:01, gwendallinesikes

Let $S$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. We say that $z \in S$ is a unit if there exists a $w \in S$ such that $zw = 1.$ Find the number of units in $S.$

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Let $S$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. We say t...