Advanced MathEasy–MediumCounting solutions of a perfect-square equation
Advanced Math practice question
How many distinct real solutions does the equation x² + 6x + 9 = 0 have?
Answer: 1
x² + 6x + 9 = (x + 3)², so the equation is (x + 3)² = 0, which is true only when x = −3. One distinct solution.
Common wrong answers
- If you answered 0
- The equation does have a solution: x = −3 gives 9 − 18 + 9 = 0.
- If you answered 2
- 2 is the usual count for a quadratic, but here both roots coincide at x = −3.
- If you answered 3
- 3 is the number in the factor (x + 3), not a count of solutions.
More Advanced Math questions
- Easy–Medium
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Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
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Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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