SOLUTION: The sum of a number and 6 times its reciprocal is -5. Find the number.
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Question 850048: The sum of a number and 6 times its reciprocal is -5. Find the number.
Answer by ortarico(23) (Show Source): You can put this solution on YOUR website!
Let the number be denoted as 'p'.
From the info:
p+6*(1/p)=-5
p+6/p=-5
LCD of LHS then cross multiply gives:
p^2+5p+6
factorising gives:
(p+2)(p+3)
:.P=-2or-3
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