Question 521091
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Let *[tex \Large x] represent the number, then


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4x\ +\ \frac{2}{x}\ =\ 6]


Multiply both sides by *[tex \Large x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4x^2\ -\ 6x\ +\ 2\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x^2\ -\ 3x\ +\ 1\ =\ 0]


Solve the quadratic for *[tex \Large x].  Check for extraneous roots.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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