2001 AMC 10 Problems/Problem 2
Revision as of 12:30, 16 March 2011 by Pidigits125 (talk | contribs) (Created page with '== Problem == A number <math> x </math> is <math> 2 </math> more than the product of its reciprocal and its additive inverse. In which interval does the number lie? <math> \tex…')
Problem
A number is
more than the product of its reciprocal and its additive inverse. In which interval does the number lie?
Solution
We can write our equation as
.
.
We can substitute that product for . Therefore,
, which is in the interval