已知(5X+Y-7)²+/4X-2Y-14/=0,求X、Y的值

已知(5X+Y-7)²+/4X-2Y-14/=0,求X、Y的值
已知(5X+Y-7)²+/4X-2Y-14/=0,求X、Y的值

已知(5X+Y-7)²+/4X-2Y-14/=0,求X、Y的值
(5X+Y-7)²+/4X-2Y-14/=0
由非负性
5x+y-7=0.(1)
4x-2y-14=0.(2)
(1)*2+(2)得
14x-28=0
x=2
代入(1)得
10+y-7=0
y=-3
解得
x=2
y=-3