16Hit1600
Advanced MathMediumSum of the solutions of a perfect-square equation

Advanced Math practice question

If x² − 4x + 4 = 25, what is the sum of the solutions?

Answer: 4

x² − 4x + 4 = (x − 2)², so (x − 2)² = 25 → x − 2 = ±5 → x = 7 or x = −3. The sum is 4.

Common wrong answers

If you answered 2
2 is the axis of symmetry, half the sum.
If you answered 10
10 is the difference of the solutions.
If you answered -21
−21 is the product of the solutions.

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