
有一道题先化简再求值(x
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先化简在求值,(x/x-1-1/x²-x)÷(x+1).其中x=√2.
(x/x-1-1/x²-x)÷(x+1)
=(x²/x²-x-1/x²-x)÷(x+1)
=(x²-1)/x(x-1)÷(x+1)
=(x+1)(x-1)/x(x+1)(x-1)
=1/x
=1/√2
=(√2)/2
(x/x-1-1/x²-x)÷(x+1)
=(x²/x²-x-1/x²-x)÷(x+1)
=(x²-1)/x(x-1)÷(x+1)
=(x+1)(x-1)/x(x+1)(x-1)
=1/x
=1/√2
=(√2)/2
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