Advanced MathMediumChoosing the admissible root, then evaluating
Advanced Math practice question
If x² − 9 = 0 and x + 3 ≠ 0, what is the value of x + 5?
Answer: 8
x² − 9 = 0 gives x = 3 or x = −3, and x + 3 ≠ 0 rules out −3. So x = 3 and x + 5 = 8.
Common wrong answers
- If you answered 2
- 2 uses x = −3, which is excluded.
- If you answered 3
- 3 is x, but the question asks for x + 5.
- If you answered 14
- 14 comes from x = 9, forgetting to take the square root.
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