Question 1189240
For the equation {{{ (a-b)^2 + a^2 = 169 }}} a and b are integers, and a≥0. Find the number of different ordered pairs (a,b) that occur.
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{{{ (a-b)^2 + a^2 = 169 }}}
5^2 + 12^2 = 169
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a = 12, b = 7
a = 5, b = -7
a = 0, b = 13
a = 0, b = -13
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Might be others, but I doubt it.