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\[\frac{-9+21i}{3}=\frac{-9}{3}+\frac{21i}{3}=-3+7i\]

Thank you bunches. :) Can you help me with 2 more?

Possibly

\[x=\frac{-4\pm\sqrt{-80}}{4}\]?

yes

ok we look for the largest perfect square that is a factor of 80
i get 16 because \(80=16\times 5\)

okay that makes sense

therefore \[\sqrt{-80}=\sqrt{16\times 5\times (-1)}=4\sqrt{5}i\]

woah you lost me D: lol

i guess i skipped a step
\[\sqrt{16\times 5\times (-1)}=\sqrt{16}\sqrt{5}\sqrt{-1}=4\sqrt{5}i\]

since \(\sqrt{16}=4\) and \(\sqrt{-1}\) gets written as \(i\)

that is why we were looking for the largest perfect square that is a factor of 80

let me know when we can continue, it is not over yet

okay that makes sense