作业帮在线解方程3(X-2)=9.6
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/11 22:02:02
在线解方程3(X-2)=9.6
在线解方程3(X-2)=9.6
在线解方程3(X-2)=9.6
3(X-2)=9.6
x-2=9.6/3=3.2
x=3.2+2=5.2
3(X-2)=9.6
X-2=3.2
X=5.2
1/(X-5)+2/(X-4)+3/(X-3)+4/(X-2)=1+1+1+1
[1-1/(X-5)]+[1-2/(X-4)]+[1-3/(X-3)]+[1-4/(X-2)]=0
(X-6)/(X-5)+(X-6)/(X-4)+(X-6)/(X-3)+(X-6)/(X-2)=0
(X-6)[1/(X-5)+1/(X-4)+1/(X-3)+1/(X-2)]=0
(X-...
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1/(X-5)+2/(X-4)+3/(X-3)+4/(X-2)=1+1+1+1
[1-1/(X-5)]+[1-2/(X-4)]+[1-3/(X-3)]+[1-4/(X-2)]=0
(X-6)/(X-5)+(X-6)/(X-4)+(X-6)/(X-3)+(X-6)/(X-2)=0
(X-6)[1/(X-5)+1/(X-4)+1/(X-3)+1/(X-2)]=0
(X-6)[(2X-7)/(X-5)(X-2)+(2X-7)/(X-3)(X-4)]=0
(X-6)(2X-7)[1/(X^2-7X+10)+1/(X^2-7X+12)]=0
先求出两个解X=6,X=7/2
1/(X^2-7X+10)+1/(X^2-7X+12)=0
令Y=X^2-7X
1/(Y+10)+1/(Y+12)=0
(2Y+22)/(Y+10)(Y+12)=0
所以Y=-11
X^2-7X=-11
X=(7-√5)/2,X=(7+√5)/2
所以一共有4个解
X=6,X=7/2,X=(7-√5)/2,X=(7+√5)/2
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