已知x²+x-1=0，求x【（1-2/（1-x））÷（x+1）-（x²-1）/（x²-2x+1）】
已知x²+x-1=0，求x【（1-2/（1-x））÷（x+1）-（x²-1）/（x²-2x+1）】...
已知x²+x-1=0，求x【（1-2/（1-x））÷（x+1）-（x²-1）/（x²-2x+1）】
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x²+x-1=0
x²=1-x
x【（1-2/（1-x））÷（x+1）-（x²-1）/（x²-2x+1）】
=x【（1+2/(x-1)）÷(x+1)-(x-1)(x+1)/(x-1)²】
=x【（(x-1)/(x-1)+2/(x-1)）÷(x+1)-(x+1)/(x-1)】
=x【(x-1+2)/(x-1)÷(x+1)-(x+1)/(x-1)】
=x【(x+1)/(x-1)÷(x+1)-(x+1)/(x-1)】
=x【(x+1)/(x-1)*1/(x+1)-(x+1)/(x-1)】
=x【1/(x-1)-(x+1)/(x-1)】
=x(1-x-1)/(x-1)
=x(-x)/(x-1)
=-x²/(x-1)
=-(1-x)/(x-1)
=(x-1)/(x-1)
=1
x²=1-x
x【（1-2/（1-x））÷（x+1）-（x²-1）/（x²-2x+1）】
=x【（1+2/(x-1)）÷(x+1)-(x-1)(x+1)/(x-1)²】
=x【（(x-1)/(x-1)+2/(x-1)）÷(x+1)-(x+1)/(x-1)】
=x【(x-1+2)/(x-1)÷(x+1)-(x+1)/(x-1)】
=x【(x+1)/(x-1)÷(x+1)-(x+1)/(x-1)】
=x【(x+1)/(x-1)*1/(x+1)-(x+1)/(x-1)】
=x【1/(x-1)-(x+1)/(x-1)】
=x(1-x-1)/(x-1)
=x(-x)/(x-1)
=-x²/(x-1)
=-(1-x)/(x-1)
=(x-1)/(x-1)
=1
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