16Hit1600
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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