Question 618083
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Let *[tex \Large x] represent one of the even integers, then *[tex \Large x\ +\ 2] represents a consecutive even integer.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ \left(x\ +\ 2\right)^2\ =\ 1684]


Expand, collect terms, put the equation in standard form, and solve the quadratic.  Hint: A 2 will factor out of all three terms, then notice that the first degree coefficient is very small as compared to the constant term.  Look for two even integer factors in the neighborhood of the square root of the constant term.


Once you have two values for *[tex \LARGE x], calculate the two values of *[tex \LARGE x\ +\ 2]


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