1.

If α and β are the roots of the equation x2 − x + 1 = 0 then write the value of α2 + β2.

Answer»

Given x− x + 1 = 0

α + β = 1, αβ = 1

α+ β= (α + β)2 − 2αβ

= (1)2 - 2 x 1

= 1 - 2

= -1



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