find the roots of equation x^4+2x^3-21x^2-22x+40=0 if they are in a.p.​

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If α, β, γ, δ be the roots of the equation x^4 + px^3 + qx^2 +rx +s = 0, show that (1 + α^2)(1+β^2)(

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algebra precalculus - Solve the equation $x^4-2x^3-21x^2+22x+40=0$ whose roots are in A.P. - Mathematics Stack Exchange