已知(x+y)^2=1 (x-y)^2=49 求x^2+y^2和xy的值
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已知(x+y)^2=1 (x-y)^2=49 求x^2+y^2和xy的值
已知(x+y)^2=1 (x-y)^2=49 求x^2+y^2和xy的值
已知(x+y)^2=1 (x-y)^2=49 求x^2+y^2和xy的值
(x+y)^2=1
x^2+2xy+y^2=1
(x-y)^2=49
x^2-2xy+y^2=49
相加
2(x^2+y^2)=50
x^2+y^2=25
相减
4xy=1-49=-48
xy=-24
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