Question

If α and β are the roots of the equation x² + px + 1 = 0; γ, δ are the roots of x² + qx + 1 = 0 then q² - p² = (α  - γ)(β - γ)(α  + δ)(β+ δ)

Answer 1

Since, α + β = - p, αβ = 1 and γ + δ = - q, γδ = 1