Difference between revisions of "2008 iTest Problems/Problem 7"
Brainyboy615 (talk | contribs) |
(→Solution) |
||
| Line 3: | Line 3: | ||
==Solution== | ==Solution== | ||
| + | |||
| + | First, we complete the square of the left side of the equation, giving us: | ||
| + | |||
| + | <math>(n+5)^2 < 1983</math> | ||
| + | |||
| + | The integers from <math>-49</math> to <math>39</math> satisfy this equation, so the answer is <math> 39- (-49)+1 = 89</math> | ||
==See also== | ==See also== | ||
Revision as of 19:03, 25 February 2016
Problem
Find the number of integers 
for which 
.
Solution
First, we complete the square of the left side of the equation, giving us:
The integers from 
to 
satisfy this equation, so the answer is 
