已知x^2 - 2 =0 ，则求代数式(x - 1)^2/(x^2-1) + X^2/(x +1 )的值
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x²-2=0
x²=2
原式=(x-1)²/(x+1)(x-1)+x²/(x+1)
=(x-1)/(x+1)+x²/(x+1)
=(x²+x-1)/(x+1)
=(2+x-1)/(x+1)
=(x+1)/(x+1)
=1
x²=2
原式=(x-1)²/(x+1)(x-1)+x²/(x+1)
=(x-1)/(x+1)+x²/(x+1)
=(x²+x-1)/(x+1)
=(2+x-1)/(x+1)
=(x+1)/(x+1)
=1
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