solve for x: 1/(x-1) - 1/x = 1/(9x)

How to solve for x and which values of x make the equation undefined.
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1 Answer

1/(x-1) - 1/x = 1/(9x)

LCM=9x(x-1)

9x/[(9x)(x-1)]- [9(x-1)]/[(9x)(x-1)]= (x-1)/[(9x)(x-1)]

[9x-9(x-1)]/[(9x)(x-1)]=x-1/[(9x)(x-1)]

9x-9(x-1)=x-1  

9x-9x+9=x-1 

  x-1=9 

x=10

x=0 or x=1 makes the equation undefined.

 

 

by Level 8 User (32.3k points)

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