(x/x+1)²-2(x/x+1)-8=0(2x²-1)/(x) +x/2x²-1=2
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(x/x+1)²-2(x/x+1)-8=0(2x²-1)/(x)+x/2x²-1=2(x/x+1)²-2(x/x+1)-8=0(2x²-1)/(x)+
(x/x+1)²-2(x/x+1)-8=0(2x²-1)/(x) +x/2x²-1=2
(x/x+1)²-2(x/x+1)-8=0
(2x²-1)/(x) +x/2x²-1=2
(x/x+1)²-2(x/x+1)-8=0(2x²-1)/(x) +x/2x²-1=2
1、
a=x/(x+1)
a²-2a-8=0
(a-4)(a+2)=0
a=4,a=-2
x/(x+1)=4
x=4x+4
x=-4/3
x/(x+1)=-2
x=-2x-2
x=-2/3
x=-4/3,x=-2/3
2、
令a=(2x²-1)/x
则a+1/a=2
a²-2a+1=0
(a-1)²=0
a=1
(2x²-1)/x=1
2x²-1=x
2x²-x-1=(2x+1)(x-1)=0
x=-1/2,x=1
(x/x+1)²-2(x/x+1)-8=0
[(x/x+1)-4][(x/x+1)+2]=0
x/x+1=4 或-2
x=4x+4 x=-2x-2
x=-4/3 x=-2/3
经检验……
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