如何解方程(x 4x 5x 8x 9x 7x 8x 5x

2021-05-13 08:38:39 字數 5057 閱讀 3582

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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