Difference between revisions of "1987 AJHSME Problems/Problem 19"
5849206328x (talk | contribs) (New page: ==Problem== A calculator has a squaring key <math>\boxed{x^2}</math> which replaces the current number displayed with its square. For example, if the display is <math>\boxed{000003}</mat...) |
(No difference)
|
Revision as of 09:12, 14 March 2009
Problem
A calculator has a squaring key which replaces the current number displayed with its square. For example, if the display is
and the
key is depressed, then the display becomes
. If the display reads
, how many times must you depress the
key to produce a displayed number greater than
?
Solution
We just brute force this:
Clearly we need to press the button times, so