(x-1/x)÷x+1/x,其中x=根号下2+1

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(x-1/x)÷x+1/x,其中x=根号下2+1
(x-1/x)÷x+1/x,其中x=根号下2+1

(x-1/x)÷x+1/x,其中x=根号下2+1

(x-1/x)÷(x+1)/x
=[(x²-1)/x]×[x/(x+1)]
=[(x-1)(x+1)/x]×[x/(x+1)]
=x-1
=√2+1-1
=√2

(x-1/x)÷(x+1)/x
=(x²-1)/x*x/(x+1)
=(x+1)(x-1)/x*x/(x+1)
=x-1
=√2+1-1
=√2