已知2x+3y=5,xy=2,则4x^2+9y^2=
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已知2x+3y=5,xy=2,则4x^2+9y^2=
![已知2x+3y=5,xy=2,则4x^2+9y^2=](/uploads/image/z/7885120-40-0.jpg?t=%E5%B7%B2%E7%9F%A52x%2B3y%3D5%2Cxy%3D2%2C%E5%88%994x%5E2%2B9y%5E2%3D)
(2x+3y)^2=5^2
4x^2+12xy+9y^2=25
4x^2+9y^2=25-12xy
4x^2+9y^2=1
4x^2+12xy+9y^2=25
4x^2+9y^2=25-12xy
4x^2+9y^2=1
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