If - and - are roots of the equation x2-x-1-0 then -2-2 is

X^2 + x + 1 = 0 x= 1± i√(3)/2 ⇒ x is the cube root of unity. ⇒ nbsp;α=w & β=w^2 ∴ α^2+β^2=w^2+w^4=w^2+w= 1 ...

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Quadratic Formula for Finding Roots

If α and β ar...

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If $α$ and $β$ are roots of the equation $x^{2} + x + 1 = 0$ then $α^{2}$ + $β^{2}$ is

\frac{- 1 - i \sqrt{3}}{2}

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\frac{- 1 + i \sqrt{3}}{2}

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