Advanced MathHardPositive solution after recognising a square
Advanced Math practice question
If x² + 6x + 9 = 25 and x > 0, what is the value of x?
Answer: 2
The left side is (x + 3)², so x + 3 = 5 or x + 3 = −5, giving x = 2 or x = −8. The positive solution is 2.
Common wrong answers
- If you answered 4
- 4 uses x + 3 = 7, a slip.
- If you answered 16
- 16 subtracts 9 from 25.
- If you answered -8
- −8 is the negative solution.
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