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If α and β are the roots of the equation x2 − x + 1 = 0 then write the value of α2 + β2. |
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Answer» Given x2 − x + 1 = 0 α + β = 1, αβ = 1 α2 + β2 = (α + β)2 − 2αβ = (1)2 - 2 x 1 = 1 - 2 = -1 |
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