posted by Aria .
Two consecutive integers are squared. The sum of these squares of these squares is 545. What are the integers?
Half of 545 = 272 must fall between two perfect sequres, namely 256 and 289, which means that the integers are 16 and 17.
Let x be one of the integers, then x+1 is the other. So that:
So x=16 or x=-17.
The consecutive integers are therefore:
16, 17, or