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换元法解题用换元法把1/(X平方+2X+1)+1/(X平方+2X+2)=2设_______=Y,则原方程可化为_________________怎么化啊,

题目详情
换元法解题
用换元法把1/(X平方+2X+1)+1/(X平方+2X+2)=2
设_______=Y,则原方程可化为_________________
怎么化啊,
▼优质解答
答案和解析
用换元法把1/(X平方+2X+1)+1/(X平方+2X+2)=2 设_X^2+2X+1=Y,则原方程可化为_1/Y+1/[Y+1]=2Y=[X+1]^2>=01/Y+1/[Y+1]=2Y+1+Y=2[Y^2+Y]2Y^2=1Y^2=1/2Y=2^(-1/2)[x+1]^2=2^(-1/2)x+1=+/-2^(-1/4)x1=-1+2^(-1/4)...