If alpha and beta are the roots of the e...

If `alpha and beta` are the roots of the equation `x^(2) + x+ 1 = 0, ` then what is the equation whose roots are `alpha^(19) and beta^(7)` ?

A

`x^(2) - x -1 =0`

B

`x^(2) - x +1 =0`

C

`x^(2) + x -1 =0`

D

`x^(2) +x +1 =0`

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The correct Answer is:

D

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