If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?

Answer 1

typo, you meant
a^2 − b^2 = 100

discussed here:
https://www.jiskha.com/questions/1774797/If-a-and-b-are-integers-such-that-a-2-b-2-100-what-is-the-greatest-possible