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If α,β are the zeros of the polynomial 2x2 - 4x + 5 find the value of a) α2 + β2 b) (α - β)2.
Ans: p (x) = 2 x2 - 4 x + 5 (Ans: a) -1 , b) -6)
α + β = -b /a = 4/2 = 2
α β = c/a = 5/2
α2 + β2 = (α + β)2 - 2 α β
Substitute then we get, α 2+ β2 = -1
(α - β)2 = (α + β)2 - 4 α β
Substitute, we get = (α - β)2 = - 6
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