α + β = 5, αβ = 6. α³ + β³ = (α + β)³ - 3αβ(α + β) = 125 - 3(6)(5) = 125 - 90 = 35
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JEE Main 2023 — Mathematics Algebra
medium
mcq
2023
Official previous-year question
Verified 30 May 2026.
Question
If α and β are roots of x² - 5x + 6 = 0, then α³ + β³ is equal to:
Options
- A35
- B45
- C55
- D65
Solution
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