Advanced MathMediumRadical equation containing a square
Advanced Math practice question
If √(x² + 9) = 5, what is the positive value of x?
Answer: 4
Square both sides: x² + 9 = 25 → x² = 16 → x = 4 (positive).
Common wrong answers
- If you answered 2
- 2 comes from x² = 4, subtracting 9 from 13 rather than from 25.
- If you answered 16
- 16 is x².
- If you answered -4
- −4 satisfies the equation but is not positive.
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What are the solutions to x² + 6x + 8 = 0?
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