Algebrahard · Past Paper
If α, β are roots of x^2 - 5x + 6 = 0, find α^3 + β^3.
A35
B125
C90
D30
✓ Correct Answer: A — 35
α+β=5, αβ=6. α^3+β^3 = (α+β)^3 - 3αβ(α+β) = 125 - 3(6)(5) = 125 - 90 = 35.
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✓ Correct Answer: A — 35
α+β=5, αβ=6. α^3+β^3 = (α+β)^3 - 3αβ(α+β) = 125 - 3(6)(5) = 125 - 90 = 35.
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