因为|x+y-5|>=0,(x-y+3)^2>=0,又因|x+y-5|+(x-y+3)^2=0所以只能有x+y-5=0 ..... (1)..x-y+3=0 ....(2)
解得:x=1,y=4所以xy=4
由于绝对值和平方均是大于等于零的,所以由题意可知:
x+y-5=0,x-y+3=0;则可知x=1,y=4 ,xy=4
x+y-5的绝对值+(x-y+3)^2=0
则x+y-5=0且x-y+3=0
得出方程组x+y=5
x-y=-3
计算方程组,得出x=1,y=4
x+y-5=0,x-y+3=0得x=1,y=4所以xy=4
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