Question 237329
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x(x\ +\ 2)\ =\ 5\left(x\ +\ (x\ +\ 2)\right)\ -\ 1]


Simplify and solve the resulting quadratic for *[tex \Large x] which will be the smaller of the two numbers you seek.  Add 2 to get the other one.  Hint:  It factors, as it must if you hope to get an integer result.  Another hint:  You will get two roots to the equation.  One will be positive and the other negative.  The problem asks for positive integers, so exclude the negative root.


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