SOLUTION: the sum of a number and 8 times its reciprocal is -9

Question 370163: the sum of a number and 8 times its reciprocal is -9
Found 3 solutions by Fombitz, lefty4ever26, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Two solutions:

.
.

Answer by lefty4ever26(59)   (Show Source): You can put this solution on YOUR website!
Equation.
Multiply both sides by x to cancel the fraction.
Add 9x to both sides.
Factor.
Set factors equal to 0 and solve for x.

Your number can be either -1 or -8
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent the number
Write as we Read
x + 8*(1/x) = -9
x^2 + 8 = -9x
x^2 + 9x + 8 = 0

x = -16/2 = -8
x = -2/2 = -1
checking our answers
-8 + 8*(-1/8) = -9
-1 + 8*-1 = -9
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