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1）x/(x-x^2/1-x)2)先化简1/x+1-x+3/x^2-1/(x+3)(x+)/x^2-2x+1其中x=根号2-1
题目详情
1） x / (x - x^2/1-x)
2)先化简 1 / x+1 - x+3/x^2-1 / (x+3)(x+)/x^2-2x+1 其中x=根号2-1
2)先化简 1 / x+1 - x+3/x^2-1 / (x+3)(x+)/x^2-2x+1 其中x=根号2-1
▼优质解答
答案和解析
数学专家,我来帮你,
1.x / (x - x^2/1-x) =X÷{[X(1-X)]×1/(1-X)}=X÷X=1.
1 / x+1 - x+3/x^2-1 / (x+3)(x+1)/x^2-2x+1
=1/(X+1)-{(X+3)/[(X+1)(X-1)]}×{(X-1)^2/[(X+3)(X+1)]}
=1/(X+1)-(X-1)/(X+1)^2
=[(X+1)-(X-1)]/(X+1)^2
=2/(X+1)^2.
其中x=根号2-1,
2/(X+1)^2=2/(√2-1+1)^2=2/2=1.
1.x / (x - x^2/1-x) =X÷{[X(1-X)]×1/(1-X)}=X÷X=1.
1 / x+1 - x+3/x^2-1 / (x+3)(x+1)/x^2-2x+1
=1/(X+1)-{(X+3)/[(X+1)(X-1)]}×{(X-1)^2/[(X+3)(X+1)]}
=1/(X+1)-(X-1)/(X+1)^2
=[(X+1)-(X-1)]/(X+1)^2
=2/(X+1)^2.
其中x=根号2-1,
2/(X+1)^2=2/(√2-1+1)^2=2/2=1.
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