You should be able to factor this:"The sum of the squares of two consecutive positive odd integers is 514. What are the integers?"
I have it set up as x^2 + (x+2)^2 = 514
x^2 + x^2 + 4x + 4 = 514
2x^2 + 4x = 510
Can you break -255 into two factors whose sum is 2? Start by listing the possible factorizations of -255:
Now which pair adds up to +2?