x^2+2x+1/x+2 ÷x^2-1/x-1 - 1/x+2,其中x=根号2
=(x+1)²/(x+2)×(x-1)/(x+1)(x-1)-1/(x+2)
=(x+1)/(x+2)-1/(x+2)
=x/(x+2)
=√2/(√2+2)
=√2(2-√2)/(4-2)
=(2√2-2)/2
=√2-1;
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x^2+2x+1/x+2 ÷x^2-1/x-1 - 1/x+2,其中x=根号2
=(x+1)²/(x+2)×(x-1)/(x+1)(x-1)-1/(x+2)
=(x+1)/(x+2)-1/(x+2)
=x/(x+2)
=√2/(√2+2)
=√2(2-√2)/(4-2)
=(2√2-2)/2
=√2-1;
很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,