Question 180002
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And the place you arrived is a very fine place to be indeed in view of the fact that you have simplified the expression as far as possible and


*[tex \LARGE \text{        } \frac {1 \pm i sqrt{15}}{8}]


are the exact roots of the given equation.  Some purists might expect this to be expressed in complex number form, *[tex \Large a \pm bi] making your answer:


*[tex \LARGE \text{        } \frac {1}{8} \pm \left(\frac {sqrt{15}}{8}\right)i]


But if someone at this stage of your mathematics education were to insist upon it, you might be well justified to reply with an eye-roll and a "<i><b>what</b>ever</i>."  The only other thing I can think of is to separate the plus/minus and show the two conjugates as separate entities if your instructor insists, but again, it hardly makes a difference IMHO.


Anything else you might do to this would only result in a numerical approximation of the answer.  Good job, Heather.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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