SOLUTION: Given that x and y are integers, solve x^2 + |y

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

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

Because of this, this means that BOTH and 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 ). So this leaves the equation . I'll let you solve it.

Alternatively, we can let (using the same reasoning as above), which would leave us . Again, I'll let you solve it.
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