Answer:
x(x + 2) = 288
x² + 2x = 288
x² + 2x + 1 = 289
(x + 1)² = 289
x + 1 = ±17
x = 1 ± 17 = -18, 16
Three positive consecutive even integers that meet the given condition:
16, 18, 20
Three consecutive negative even integers that meet the given condition:
-18, -16, -14