Difference between revisions of "2008 iTest Problems/Problem 7"
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==Solution== | ==Solution== | ||
− | ==See | + | First, we complete the square of the left side of the equation, giving us: |
+ | |||
+ | <math>(n+5)^2 < 2033</math> | ||
+ | |||
+ | The integers from <math>-50</math> to <math>40</math> satisfy this equation, so the answer is <math> 40- (-50)+1 = \boxed{91}</math>. | ||
+ | |||
+ | ==See Also== | ||
+ | {{2008 iTest box|num-b=6|num-a=8}} | ||
+ | |||
+ | [[Category:Introductory Algebra Problems]] |
Latest revision as of 23:56, 21 June 2018
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 .
See Also
2008 iTest (Problems) | ||
Preceded by: Problem 6 |
Followed by: Problem 8 | |
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