SOLUTION: The sum of an integer and its reciprocal is 82/9. Find the integer. Could you please show me how to do this? Thanks so much

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Question 136485: The sum of an integer and its reciprocal is 82/9. Find the integer.
Could you please show me how to do this? Thanks so much
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+1/X=82/9
(X*X+1)/X=82/9
(X^2+1)/X=82/9 NOW CROSS MULTIPLY
9(X^2+1)=82X
9X^2+9-82X=0
9X^2-82X+9=0
(9X-1)(X-9)=0
9X-1=0
9X=-1
X=-1/9 ANSWER.
X-9=0
X=9 ANSWER.