Advanced MathVery hardCounting integer solutions of a quadratic inequality
Advanced Math practice question
How many integer values of x satisfy x² < 10?
Answer: 7
x must lie strictly between −√10 and √10, that is, between about −3.16 and 3.16. The integers are −3 to 3, seven in all.
Common wrong answers
- If you answered 3
- 3 counts only the positive integers.
- If you answered 6
- 6 forgets zero.
- If you answered 9
- 9 includes −4 and 4, whose squares are 16.
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