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Let $α a n d β$ be the roots of the equation $x^{2} + x + 1 = 0 .$ The equation whose roots are $α^{19}, β^{7}$ is

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x 2 – x – 1 = 0

x2 – x + 1 = 0

x 2 + x – 1 = 0

x2+ x + 1 = 0

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Correct option is D

Let α=ω,β=ω2 so that α19=ω and β7=ω2∴ equation whose roots are α19,β7 is x2+x+1=0

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Let α and β be the roots of the equation x2+ x + 1 = 0. The equation whose roots are α19 , β 7 is

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Let $α a n d β$ be the roots of the equation $x^{2} + x + 1 = 0 .$ The equation whose roots are $α^{19}, β^{7}$ is