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If α,β,γ,δ∈R satisfy (α+1)2+(β+1)2+(γ+1)2+(δ+1)2α+β+γ+δ=4. If the equation a0x4+a1x3+a2x2+a3x+a4=0 has the roots (α+1β−1),(β+1γ−1),(γ+1δ−1),(δ+1α−1), then the value of a2a0 is

Answer» If α,β,γ,δR satisfy (α+1)2+(β+1)2+(γ+1)2+(δ+1)2α+β+γ+δ=4.
If the equation a0x4+a1x3+a2x2+a3x+a4=0 has the roots (α+1β1),(β+1γ1),(γ+1δ1),(δ+1α1), then the value of a2a0 is


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