 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-1/2/b/solution

(- 3 \pm 5) /2

. Its leading coefficient is positive, so the quadratic polynomial is strictly negative between them. Therefore

\frac{- 3 - 5}{2} < x < \frac{- 3 + 5}{2} .

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