SOLUTION: Unable to solve. Please help. An integer minus 3 times its reciprocal equals 26/3. What is the integer?

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Question 127979: Unable to solve. Please help. An integer minus 3 times its reciprocal equals 26/3. What is the integer?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X-3*1/X=26/3
X-3/X=26/3
(X^2-3)/X=26/3 NOW CROSS MULTIPLY
3(X^2-3)=26X
3X^2-9-26X=0
3X^2-26X-9=0
(3X+1)(X-9)=0
3X+1=0
3X=-1
X=-1/3 ANSWER.
X-9=0
X=9 ANSWER.
PROOF:
9-3*1/9=26/3
(81-3)/9=26/3
78/9=26/3
26/3=26/3