Let p=cos(2 pi)/(7)+i sin(2 pi)/(7) . Th...

Let `p=cos(2 pi)/(7)+i sin(2 pi)/(7)` . The complex number `alpha=p+p^(2)+p^(4)` and `beta= p^3+p^5+p^6` are roots of the quadratic equation `x^(2)+ax+b=0,` where a and b are real. Then value of `a, b`

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Let `p=cos(2 pi)/(7)+i sin(2 pi)/(7)` . The complex number `alpha=p+p^(2)+p^(4)` and `beta= p^3+p^5+p^6` are roots of the quadratic equation `x^(2)+ax+b=0,` where a and b are real. Then value of `a, b`

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