2006 AMC 12A Problems/Problem 10
Problem
For how many real values of is
an integer?
Solution
For to be an integer,
must be a perfect square.
Since can't be negative,
.
The perfect squares that are less than or equal to are
, so there are
values for
.
Since every value of gives one and only one possible value for
, the number of values of
is
See also
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Preceded by Problem 9 |
AMC 12A 2006 |
Followed by Problem 11 |