SOLUTION: A number added to the product of 6 and the reciprocal of the number equals -5.

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Question 40793This question is from textbook Beginning Algebra
: A number added to the product of 6 and the reciprocal of the number equals -5. This question is from textbook Beginning Algebra

Found 2 solutions by venugopalramana, Nate:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
A number (= X) added to the product of 6 and the reciprocal of the number (=1/X)
equals -5.
SO X+6*1/X=-5.MULTIPLYING WITH X THROUGHOUT
X^2+6=-5X
X^2+5X+6=0
X^2+3X+2X+6=0
X(X+3)+2(X+3)=0
(X+2)(X+3)=0
X=-2...OR....-3
SO THE NUMBER IS -2 OR -3.

Answer by Nate(3500) About Me  (Show Source):