|x+y+7|+(xy-6)6^2=0则x^2+y^2的值为

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|x+y+7|+(xy-6)6^2=0则x^2+y^2的值为

|x+y+7|+(xy-6)6^2=0则x^2+y^2的值为
|x+y+7|+(xy-6)6^2=0则x^2+y^2的值为

|x+y+7|+(xy-6)6^2=0则x^2+y^2的值为
|x+y+7|+(xy-6)^2=0
所以x+y+7=0
xy-6=0
xy=6
x+y=-7
平方
x²+y²+2xy=49
x²+y²=49-2xy=37

|x+y+7|+(xy-6)^2=0

x+y+7=0
x+y=-7

xy-6=0
xy=6

x^2+y^2=(x+y)^2-2xy=49-2x6=37

俺的沙发

|x+y+7|+(xy-6)6^2=0
说明|x+y+7|=0,xy-6=0 , 故x+y=-7,xy=6.解得x=-1,y=-6或者x=-6,y=-1;所以x^2+y^2=37