x² + y² + 12 - xy - 6y
= (x - y/2)² + 3y²/4 - 6y + 12
= (x - y/2)² + 3/4 ×(y² - 8y + 16)
=(x - y/2)² + 3/4 ×(y - 4)²
≤ 0
所以x - y/2 = 0,y - 4 = 0
所以x = 2,y = 4
代入得,结果为3
x² + y² + 12 - xy - 6y
= (x - y/2)² + 3y²/4 - 6y + 12
= (x - y/2)² + 3/4 ×(y² - 8y + 16)
=(x - y/2)² + 3/4 ×(y - 4)²
≤ 0
所以x - y/2 = 0,y - 4 = 0
所以x = 2,y = 4
代入得,结果为3