Advanced MathMediumPositive number from the sum of itself and its square
Advanced Math practice question
The sum of a positive number and its square is 42. What is the number?
Answer: 6
x² + x − 42 = 0 → (x + 7)(x − 6) = 0 → x = 6 (positive).
Common wrong answers
- If you answered 7
- 7 gives 7 + 49 = 56, not 42.
- If you answered 21
- 21 is half of 42, treating the sum as 2x.
- If you answered -7
- −7 is the rejected negative root.
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