If α, β, γ, δ be the roots of the equation x
4 + px
3 + qx
2 + rx + s = 0, show that
(1 + α2
) (1 + β
2
) (1 + γ
2
) (1 + δ2
) = (1 – q + s)
2 + (p – r)
2
.
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