JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

\alpha

and

\beta

be the roots of the equation

x^2+x+1=0

the equation whose roots are

\alpha^{19}, \beta^7

View answer and explanation

Correct option: D

x^2+x+1=0

Option D (

x^2+x+1=0

) is correct because the roots

\alpha^{19}

and

\beta^7

simplify to

\omega

and

\omega^2

respectively, which are the roots of the original equation.

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