- #1

NewtonianAlch

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## Homework Statement

Suppose both c and (1 + ic)[itex]^{5}[/itex] are real (c [itex]\neq[/itex] 0).

Show that c = ± [itex]\sqrt{5 ± 2\sqrt{5}}[/itex]

Now use another method to show that either c = ± tan 36◦ or c = ± tan 72◦

## The Attempt at a Solution

I expanded it out, but I'm not entirely too sure how to solve this for c. Also, solving for c with wolfram gives c =

*i*- which is not correct as c equals something else entirely.