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Question

α, β are the roots of the equation x2 + 4x + 5. Find α3 + β3


A

4

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B

-4

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C

6

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D

-6

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Solution

The correct option is B

-4


α + β = -4

αβ = 5

(α+β)3= α3 + β3 + 3αβ(α + β)

α3 + β3 = (α+β)3 - 3αβ(α + β)

= (4)3 - 3 × (5) × (-4)

= -64 + 60

= - 4


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