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已知:x²-y²=24,x+y=6,求x²+y²的值
人气:286 ℃ 时间:2020-05-23 20:07:56
解答
(x+y)^2=36
x^2一y^2=(x+y)(x-y)=6(x-y)=24,x-y=4
(x-y)∧2=16=x^2-2xy+y^2
4xy=36-16=20,xy=5
x^2+y^2=(x+y)^2-2xy=36-10=26
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