If α and β are the roots of 2x² − 9x + 7 = 0, what is α² + β²?
Correct answer: C. 53/4
- A. 37/4
- B. 45/4
- C. 53/4
- D. 81/4
Explanation
By the sum and product of roots, α + β = 9/2 and αβ = 7/2. Therefore, α² + β² = (9/2)² − 2(7/2) = 53/4.
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