From equation: 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 2025 — Mathematics Algebra
medium
mcq
2025
Official previous-year question
Verified 30 May 2026.
Question
If α and β are roots of x² - 5x + 6 = 0, then α³ + β³ equals:
Options
- A
35
- B
63
- C
125
- D
27
Solution
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