# Math Question

by Edwin
Tags: math
 Sci Advisor HW Helper P: 3,144 For starters, you should recognize the first equation tells you t is an integer. Likewise, the second tells you $$\frac {t^2 + 35}{2t}$$ is also an integer.
 Mentor P: 7,318 Math Question Simple observation and common sense go along ways in this sort of problem. I do not know of any numerical method which will work well. The problem comes when you are restricted to the integers. This is not the natural domain of numerical methods which are planted firmly in the real number line. As Tide pointed out your first equations restricts you to the integers, the second further restricts you to a small set of integers. Rewrite your 2nd condition as $$2n = t + \frac {35} t$$ So the RHS is an even integer, there are only 3 integers which can satisfy this equation. Can you complete the problem?