3(x^2+1)/(x+2)=4(x+2)/(x^2+1)+4用换元法怎么解_数学解答

3(x^2+1)/(x+2)=4(x+2)/(x^2+1)+4用换元法怎么解

人气：154 ℃　时间：2020-02-05 10:08:45

解答

令a=(x²+1)/(x+2)
则3a=4/a+4
3a²-4a-4=0
(3a+2)(a-2)=0
a=-2/3,a=2
(x²+1)/(x+2)=-2/3
3x²+3=-2x-4
3x²+2x+7=0
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