AMC 10B 2023 (Problem 14)
How many ordered pairs of integers satisfy ?
Add to both sides.
Use 6. Square of a sum.
By using 6. Square of a sum:
From Hint 3 and Hint 4: . Multiply both sides by 4: . By using 10. Difference of Squares:
Case 1: and . Adding gives , leading to .
Case 2: and . Then , giving and .
(C) 3