x²+5y²-4xy+6y+9=0,求x²+y²
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x²+5y²-4xy+6y+9=0,求x²+y²
![x²+5y²-4xy+6y+9=0,求x²+y²](/uploads/image/z/3562477-61-7.jpg?t=x%26%23178%3B%2B5y%26%23178%3B-4xy%2B6y%2B9%3D0%2C%E6%B1%82x%26%23178%3B%2By%26%23178%3B)
x²+5y²-4xy+6y+9=0
﹙x²-4xy+4y²﹚+﹙y²+6y+9﹚=0
﹙x-2y﹚²+﹙y+3﹚²=0
x-2y=0,y+3=0
x=-6,y=-3
x²+y²=36+9=45
﹙x²-4xy+4y²﹚+﹙y²+6y+9﹚=0
﹙x-2y﹚²+﹙y+3﹚²=0
x-2y=0,y+3=0
x=-6,y=-3
x²+y²=36+9=45
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