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已知实数x、y满足x的平方+(根号2)y=根号3,y的平方+(根号2)x=根号3,且x不等于y,求x/y+y/x?
人气:124 ℃ 时间:2019-11-06 02:19:23
解答
x²+√2y=√3……①y²+√2x=√3……②①式减②式x²-y²-√2(x-y)=√3(x+y)(x+y)=√2(x-y)……③∵x不等于y∴x-y≠0∴③式可得x+y=√2①式加②式x²+y²+√2(x+y)=2√3(x+y)²-2xy+√2...
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