Question 271341
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 1\ +\ \frac{1}{x}\ =\ \frac{90}{x^2}]


Multiply by *[tex \Large x^2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ x\ =\ 90]


Add -90 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ x\ -\ 90\ =\ 0]


Now just solve the easily factorable quadratic.


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