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已知(x-y)^2=625/36,x+y=7/6,分别求x^2-y^2,x^2+y^2,xy的值.
人气:372 ℃ 时间:2020-02-06 05:57:03
解答
(x-y)^2=625/36
x-y=±25/6
(x+y)²=49/36
(x+y)²-(x-y)²=4xy=49/36-625/36=-576/36=-16
xy=-4
x^2-y^2=(x+y)(x-y)=±175/36
x^2+y^2=(x+y)²-2xy=49/36-2×(-144/36)=337/36
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