16Hit1600
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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