已知xy=8满足x²y-8xy²-x+y=56,求x²+y²的值
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已知xy=8满足x²y-8xy²-x+y=56,求x²+y²的值
-8xy²
-8xy²
![已知xy=8满足x²y-8xy²-x+y=56,求x²+y²的值](/uploads/image/z/18402586-34-6.jpg?t=%E5%B7%B2%E7%9F%A5xy%3D8%E6%BB%A1%E8%B6%B3x%26sup2%3By-8xy%26sup2%3B-x%2By%3D56%2C%E6%B1%82x%26sup2%3B%2By%26sup2%3B%E7%9A%84%E5%80%BC)
将xy=8代入得
8x-8y-x+y=56
7x-7y=56
x-y=8
两边平方:x^2+y^2+2xy=64
x^2+y^2=64-2xy=48
8x-8y-x+y=56
7x-7y=56
x-y=8
两边平方:x^2+y^2+2xy=64
x^2+y^2=64-2xy=48
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