SOLUTION: The additive inverse of a number divided by 12 is the same as one less than three times its reciprocal. Find the number.
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Question 192238This question is from textbook Algebra 1
: The additive inverse of a number divided by 12 is the same as one less than three times its reciprocal. Find the number.
This question is from textbook Algebra 1
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
let the number be x
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:
:
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x=6
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let x represent the number.
Then -x is the additive inverse.
The additive inverse divided by 12 is: 
The reciprocal of the number is 
Three times the reciprocal of the number is 
One less than three times the reciprocal is 
So, solve for x
Hint: Multiply by -x first. Then collect terms and solve the easily factorable quadratic.
John
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