Question 256169
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Let *[tex \Large x] represent the smallest of the three consecutive odd integers.  The next larger consecutive odd integer must then be *[tex \Large x\,+\,2], and the one after that *[tex \Large x\,+\,4].


The product of the first and second must be:  *[tex \Large x\left(x\,+\,2\right)\ =\ x^2\,+\,2x].


7 less than 10 times the third must be: *[tex \Large 10\left(x\,+\,4\right)\ -\ 7\ =\ 10x\ +\ 33]


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 2x\ =\ 10x\ +\ 33]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 8x\ -\ 33\ =0]


Solve the easily factorable quadratic.  Both roots are valid answers to the question.


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