航天204所:初二代数题

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解方程:[(x+1)/(x-1)]^2-4[(x+1)/(x^2-1)]+3=0

[(x+1)/(x-1)]^2-4[(x+1)/(x^2-1)]+3=0
解:(x+1)^2/(x-1)^2-4[(x+1)/(x+1)(x-1)]+3=0
(x+1)^2/(x-1)^2-4/(x-1)+3=0
(x+1)^2-4(x-1)+3=0
x^2-2x+8=0
(x-4)(x+2)=0
x1=4,
x2=-2