Advanced MathEasyDifference of squares
Advanced Math practice question
What are the solutions to x² − 9 = 0?
- A. x = 3 only
- B. x = 3 and x = −3Correct
- C. x = 9 and x = −9
- D. x = 81 and x = −81
Answer: B. x = 3 and x = −3
x² = 9 gives x = ±3, or factor as (x − 3)(x + 3) = 0. The most common trap is choice A, forgetting the negative root; choice C confuses the value of x² with the value of x.
Why the other answers are wrong
- A. x = 3 only
- You found the positive square root but stopped there — since (−3)² = 9 as well, −3 is also a solution.
- C. x = 9 and x = −9
- You added 9 to both sides but never took the square root, so you reported the value of x² instead of x.
- D. x = 81 and x = −81
- You squared 9 instead of taking its square root; the equation asks for numbers whose square is 9, not 9 squared.
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