已知x-2y=12,xy=-25,求x^2=4y^2-1的值

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已知x-2y=12,xy=-25,求x^2=4y^2-1的值
已知x-2y=12,xy=-25,求x^2=4y^2-1的值

已知x-2y=12,xy=-25,求x^2=4y^2-1的值
∵x-2y=12
∴x^2+4xy+4y^2=(x-2y)^2=144
∵xy=-25
∴x^2+4y^2=144-4xy=144+100=244
∴x^2+4y^2-1=243

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