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已知:x+3/x+2=1/根号3+根号2+1,求x-3/2x-4÷(5/x-2-x-2)的值
(x+3)/(x+2) = 1/(√3+√2+1)
人气:265 ℃ 时间:2019-09-25 08:37:18
解答
取倒数(x+2)/(x+3)=√3+√2+1(x+2)/(x+3)-1=√3+√2-1/(x+3)=√3+√2原式=[(x-3)/(2x-4)]÷[5-(x+2)(x-2)]/(x-2)]=[(x-3)/2(x-2)]×[-(x-2)/(x²-9)]=[(x-3)/2(x-2)]×[-(x-2)/(x+3)(x-3)]=-1/(x+3)=√3+√2...
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