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问题: 1X(1+)X(1+)X(1+)...(1+)=

急 急

解答:

X+√(1-1/X)=√(X-1/X)
x^2+1-1/x+2x√(1-1/X)=x-1/x
2x√(1-1/X)=x-1-x^2
4x^2-4x=x^2+1+x^4-2x+2x^2-2x^3
x^2-2x=1+x^4-2x^3
x^4-2x^3-x^2+2x+1=0