Mark the Correct alternative in the following:
If α, β are the roots of the equation the roots of the equation , then

Question

Mark the Correct alternative in the following: If α, β are the roots of the equation the roots of the equation , then

Philoid · Accepted Answer

α² + pα + 1 = 0, β² + pβ + 1 = 0

α + β = -p, αβ = 1

γ² + qγ + 1 = 0, δ² + qδ + 1 = 0

δ – γ = , γδ = 1

(α – γ)(α + δ)(β – γ)(β + δ)

= (α² + α(δ – γ) – γδ)(β² + β(δ – γ) – δγ)

Mark the Correct alternative in the following:If α, β are the roots of the equation the roots of the equation , then