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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A number added to the product of 6 and the reciprocal of the number eguals -5. Find the number.      Log On


   

Question 361943: A number added to the product of 6 and the reciprocal of the number eguals -5. Find the number.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's have x represent the number. The equation will be:
x+6(1/x)=-5
Multiply by x to get:
x^2+6=-5x
Add 5x to both sides:
x^2+5x+6=0
Factor this:
(x+3)(x+2)=0
Solve for x:
x=-3
x=-2
Two numbers work. Check it out.
Make sense?
RJ
www.math-unlock.com