Question 400319
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If the difference is 5 then you can say that one number is *[tex \Large x] and the other is *[tex \Large x\ -\ 5].  Since their product is 2250, you can say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x(x\ -\ 5)\ =\ 2250]


A little algebra:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 5x\ -\ 2250\ =\ 0]


Just solve the quadratic for *[tex \Large x].  Hint: it factors.  Since this is a quadratic, you will get two roots.  Check both against the parameters of the problem to determine if either or both answers are valid.


Extra credit:  This problem could be solved using a slightly different quadratic equation.  What is it?


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