SOLUTION: What is the equation for: if a certain positive number is added to 8 times the reciprocal of 3 more than the number, the result is 6. Find the number

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Question 969965: What is the equation for: if a certain positive number is added to 8 times the reciprocal of 3 more than the number, the result is 6. Find the number
Answer by lwsshak3(11628) About Me  (Show Source):
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What is the equation for: if a certain positive number is added to 8 times the reciprocal of 3 more than the number, the result is 6. Find the number
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let x= a certain positive number
x+8*1/(x+3)=6
lcd:(x+3)
x^2+3x+8=6x+18
x^2-3x-10=0
(x-5)(x+2)=0
x=5