Question 284176
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Let *[tex \Large x] represent one of the numbers.  Let *[tex \Large y] represent the other number.


Then:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 70]


which is to say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 70\ -\ x]


Then


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ xy\ =\ x(70\ -\ x)\ =\ -x^2\ -\ 70x\ =\ 600]


Which is to say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 70x\ +\ 600\ =\ 0]


Just solve for *[tex \Large x].  One of the roots will be one of the numbers, and the other root will be the other number.



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