SOLUTION: Given that x and y are integers, solve x^2 + |y - 10| = 1

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Question 388748: Given that x and y are integers, solve x^2 + |y - 10| = 1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The expression x%5E2 is ALWAYS positive. Also, abs%28y-10%29 is ALWAYS positive.


Because of this, this means that BOTH x%5E2 and abs%28y-10%29 must be values less than 1. However, if x is an integer, this would mean that x must be zero (because any other integer would make x%5E2%3E1). So this leaves the equation abs%28y-10%29=1. I'll let you solve it.


Alternatively, we can let abs%28y-10%29=0 (using the same reasoning as above), which would leave us x%5E2=1. Again, I'll let you solve it.