Advanced MathMediumPositive solution of a quadratic with a = 2
Advanced Math practice question
What is the positive solution to 2x² + 3x − 27 = 0?
Answer: 3
Factor: (2x + 9)(x − 3) = 0, so x = 3 or x = −9/2. The positive solution is 3.
Common wrong answers
- If you answered 9
- 9 comes from misreading the factor (2x + 9) as giving x = 9.
- If you answered 27
- 27 is the constant term, not a root.
- If you answered -4.5
- −4.5 is the negative solution.
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