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.
More Advanced Math questions
- Medium
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What are the solutions to x² + 6x + 8 = 0?
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