化简求值 X/X+2 - X2+2X+1/X+2 ÷ X2-1/X-2 其中X=√3-2
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解决时间 2021-03-21 19:36
- 提问者网友：谁的错
- 2021-03-21 03:13
化简求值 X/X+2 - X2+2X+1/X+2 ÷ X2-1/X-2 其中X=√3-2
最佳答案
- 五星知识达人网友：山君与见山
- 2021-03-21 04:30
X/X+2 - X2+2X+1/X+2 ÷ X2-1/X-2
=[x/(x+2)]-[(x+1)^2/(x+2)]*{(x-2)/[(x+1)(x-1)]}
=[x/(x+2)]-{(x+1)(x-2)/[(x+2)*(x-1)]}
={1/(x+2)}*{x-[(x^2-x-2)/(x-1)]}
={1/(x+2)}*{2/(x-1)}
=2/[(x+2)(x-1)]
=2/[√3*(√3-3)]
=-(1+√3)/3
√希望你能看懂，你能明白， 望采纳，赞同
=[x/(x+2)]-[(x+1)^2/(x+2)]*{(x-2)/[(x+1)(x-1)]}
=[x/(x+2)]-{(x+1)(x-2)/[(x+2)*(x-1)]}
={1/(x+2)}*{x-[(x^2-x-2)/(x-1)]}
={1/(x+2)}*{2/(x-1)}
=2/[(x+2)(x-1)]
=2/[√3*(√3-3)]
=-(1+√3)/3
√希望你能看懂，你能明白， 望采纳，赞同
全部回答
- 1楼网友：渊鱼
- 2021-03-21 05:50
原式=(x+1)²/(x+2)÷(x+1)(x-1)/(x-1)-x/(x+2)
=(x+1)²/(x+2)÷(x+1)-x/(x+2)
=(x+1)/(x+2)-x/(x+2)
=(x+1-x)/(x+2)
=1/(x+2)
=1/(√3-2+2)
=√3/3
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