SOLUTION: How do you solve for x in the following rational equation (x-8)/(x-9)=1/(x-9)?

Question 384751: How do you solve for x in the following rational equation (x-8)/(x-9)=1/(x-9)?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi,         

solving



Cross Multiplying to solve for x

 x-9 = (x-8)(x-9)

 x -9 = x^2 -17x + 72

  x^2 - 18x + 81 = 0

factoring

(x -9)(x -9)=0 Note:SUM of the inner product(-9x) and the outer product(-9x) = -18x

(x -9)= 0

(x -9)=0

  x = 9 

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