Advanced MathMediumPositive number from a square-minus-itself relation
Advanced Math practice question
The square of a positive number exceeds the number by 12. What is the number?
Answer: 4
n² − n = 12, so n² − n − 12 = (n − 4)(n + 3) = 0. The positive solution is 4.
Common wrong answers
- If you answered 3
- 3 gives 9 − 3 = 6, not 12.
- If you answered 12
- 12 gives 144 − 12 = 132.
- If you answered -3
- −3 is the other root, but the number is positive.
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