1樓:匿名使用者
(x-4)/(x-5)=(x-5+1)/(x-5)=1+(1/(x-5))
原方來程源裝換為 1+(1/(x-5))+1+(1/(x-9))=1+(1/(x-8))+1+(1/(x-6))
1/(x-5)+1/(x-9)=1/(x-8)+1/(x-6)設x-7=y
1/(y+2)+1/(y-2)=1/(y-1)+1/(y+1)2y/(y*y-4)=2y/(y*y-1)y=0,x=7
2樓:匿名使用者
(baix-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/(x-6)
答案1:當(x-4)與(x-7)下du邊的分號為zhi大分號的時候。這種
dao結果不成立,我試驗了回。
答案2:當(x-9)與(x-6)上邊的分號為大分號的時候。
等式左邊(x-9)提到(x-5)+(x-8)上分母為(x-5)+(x-8)(x-9)
等式右邊(x-6)提到(x-5)+(x-8)上分母為(x-8)+(x-5)(x-6)
約分以後:(x-4)/(x-9)=(x-7)/(x-6)既(x-4)(
答x-6)=(x-7)(x-9)
x=39
相乘的過程我就不寫了,x的平方不好打 。希望能幫到你!
3樓:匿名使用者
令y=x-7,則,(
baiy+3)
du/(zhiy+2)+(y-1)dao/(版y-2)=y/(y-1)+(y+2)/(y+1)
1+(1/(y+2))+1-(1/(y-2))=1+(1/y-1)+1+(1/y+1)
1/(y+2) +1/(y-2)=1/(y-1)+1/(y+1)兩邊同分
2y/(y^權2-4)=2y/(y^2-1)當y=0時,等式成立,則x=7.
當y<>0時,等式不成立。所以x=7.
解方程:(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)、、x=???求過程
4樓:匿名使用者
解:(x-4)/(x-5) -(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
(x-4)/(x-5)+(x-8)/(x-9)=(x-5)/(x-6)+(x-7)/(x-8)
(x-5+1)/(x-5)+(x-9+1)/(x-9)=(x-6+1)/(x-6)+(x-8+1)/(x-8)
1/(x-5)+1/(x-9) +2=1/(x-6) +1/(x-8)+2
1/(x-5)+1/(x-9)=1/(x-6)+1/(x-8)
[(x-5)+(x-9)]/[(x-5)(x-9)]=[(x-6)+(x-8)]/[(x-6)(x-8)]
(2x-14)/(x²-14x+45)=(2x-14)/(x²-14x+48)
分母x²-14x+45恆≠x²-14x+48,要等式成立,只有分子=0
2x-14=0
x=7代入分式方程檢驗,分母均≠0,x=7是分式方程的解。x=7
5樓:魯樹兵
1/﹙x-5﹚-1/﹙x-6﹚=1/﹙x-8﹚-1/﹙x-9﹚
﹙x-5﹚﹙x-6﹚=﹙x-8﹚﹙x-9﹚x=7
解方程:(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
6樓:匿名使用者
(x-4)/(x-5) - (x-5)/(x-6) = (x-7)/(x-8) - (x-8)/(x-9)
(x-5+1)/(x-5) - (x-6+1)/(x-6) = (x-8+1)/(x-8) - (x-9+1)/(x-9)
1+1/(x-5)-1-1/(x-6) = 1+1/(x-8)-1-1/(x-9)
1/(x-5)-1/(x-6) = 1/(x-8)-1/(x-9)
(x-6-x+5)/ = (x-9-x+8)/ = -1/{(x-8)(x-9)
(x-5)(x-6) = (x-8)(x-9)
x²-11x+30 = x²-17x+72
-11x+17x = 72-30
6x = 42
x = 7
將檢驗,x=7是原方
程的解專。屬
(x-4)/(x-5)+(x-8)/(x-9)-(x-5)/(x-6)-(x-7)/(x-8)
7樓:平素琴鬱婷
(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
(x-4)/(x-5)=[(x-5)+1]/(x-5)=1+1/(x-5),...,所以原方程可化為
1/(x-5)-1/(x-6)=1/(x-8)-1/(x-9),
1/(x-5)+1/(x-9)=1/(x-8)+1/(x-6),
(2x-14)/(x^2-14x+45)=(2x-14)/(x^2-14x+48),
(2x-14)(x^2-14x+48)-(2x-14)(x^2-14x+45)=0,
3(2x-14)=0,
x=7.
經檢驗回,x=7是原方程的解答。
8樓:經海秋皋驕
^(x-4)/(x-5)
-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
1+1/(x-5)-1-1/(x-6)=1+1/(x-8)-1-1/(x-9)
1/(x-5)(x-6)=1/(x-8)(x-9)x^2-11x+30=x^2-17x+726x=42
x=7檢驗:。。。。。
是原分式內方程解
容參見
解方程 (x-5分之x-4)-(x-6分之x-5)=(x-8分之x-7)-(x-9分之x-8)速度
9樓:匿名使用者
解:(x-4)/ (x-5) - (x-5)/(x-6) = (x-7) / (x-8) - (x-8) / (x-9)
對方程兩邊各自通分:
[(x-4)(x-6) - (x-5)(x-5)] / [(x-5)/(x-6)] = [(x-7)(x-9) - (x-8)(x-8)] / [(x-8)(x-9)]
(x^2-10x+24-x^2+10x-25) / [(x-5)/(x-6)] = [x^2-16x+63 - x^2+16x-64] / [(x-8)(x-9)]
1 / [(x-5)/(x-6)] = 1 / [(x-8)(x-9)]
所以:(x-5)(x-6)=(x-8)(x-9)
x^2-11x+30=x^2-17x+72
6x=42
x=7帶入原方程:
左邊=-1/2
右邊=-1/2
左邊=右邊
∴x=7是原方程的解
10樓:新野旁觀者
(x-5分之x-4)-(x-6分之x-5)=(x-8分之x-7)-(x-9分之x-8)
[(x-5)(x-6)]分之1=[(x-8)(x-9)]分之1(x-5)(x-6)=(x-8)(x-9)-11x+30=-17x+72
6x=42
x=7經檢驗x=7是原方程的解
11樓:匿名使用者
(x-5分之x-4)-(x-6分之x-5)=(x-8分之x-7)-(x-9分之x-8)
[1+1/(x-5)]-[1+1/(x-6)]=[1+1/(x-8)]-[1+1/(x-9)]
1/(x-5)-1/(x-6)=1/(x-8)-1/(x-9)(x-6-x+5)/[(x-5)(x-6)]=(x-9-x+8)/[(x-8)(x-9)]
-1/[(x-5)(x-6)]=-1/[(x-8)(x-9)](x-5)(x-6)=(x-8)(x-9)x²-11x+30=x²-17x+72
6x=42
x=7經檢驗:x=7是原方程的解
12樓:義明智
(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
-=-1/(x-6)-1/(x-5)=1/(x-9)-1/(x-8)(x-5-x+6)/(x-5)(x-6)=(x-8-x+9)/(x-8)(x-9)
1/(x-5)(x-6)=1/(x-8)(x-9)(x-5)(x-6)=(x-8)(x-9)x²-11x+30=x²-17x+72
-11x+17x=72-30
6x=42x=7
13樓:匿名使用者
先兩邊同加上2
1-(x-5分之x-4)+1-(x-6分之x-5)=1-(x-8分之x-7)+1-(x-9分之x-8)
(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
-=-1/(x-6)-1/(x-5)=1/(x-9)-1/(x-8)(x-5-x+6)/(x-5)(x-6)=(x-8-x+9)/(x-8)(x-9)
1/(x-5)(x-6)=1/(x-8)(x-9)(x-5)(x-6)=(x-8)(x-9)x²-11x+30=x²-17x+72
-11x+17x=72-30
6x=42x=7
14樓:匿名使用者
各種方法都很多啊很好那個20及的妙風回答的有問題啊啊啊啊
15樓:匿名使用者
x=你老師喊你回家吃飯
(x-8/x-9)-(x-7/x-8)-(x-5/x-6)+(x-4/x-5)=
16樓:林若宇小木
x-4)/(x-5)=(x-5+1)/(x-5)=1+(1/(x-5)) 原方
來程源裝bai換du為zhi 1+(1/(x-5))+1+(1/(x-9))=1+(1/(x-8))+1+(1/(x-6)) 1/(x-5)+1/(x-9)=1/(x-8)+1/(x-6) 設
daox-7=y 1/(y+2)+1/(y-2)=1/(y-1)+1/(y+1) 2y/(y*y-4)=2y/(y*y-1) y=0,x=7
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