SOLUTION: twice the reciprocal of a certain number when added to 3 is equal to the number with its sign is changed. what is the number?
Algebra.Com
Question 484289: twice the reciprocal of a certain number when added to 3 is equal to the number with its sign is changed. what is the number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = "the number"
:
twice the reciprocal of a certain number when added to 3 is equal to the number with its sign is changed.
2() + 3 = -x
:
+ 3 = -x
multiply both sides by x
2 + 3x = -x^2
A quadratic equation
x^2 + 3x + 2 = 0
Factors to
(x+2)(x+1) = 0
two solutions
x = -2
x = -1
Check both solution in the original statement
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