# Finding sum of roots

If $$a$$ = $$x^{33}$$ and $$a^2$$ - 240$$a$$ + 9 = 0,
find the sum of the roots of the equation.

Note by Anshul Agarwal
5 years, 5 months ago

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2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
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0, put x^33 in the second equation and then use vieta's formula

- 5 years, 5 months ago

Yes, but how 0 Will be obtained?

- 4 years, 4 months ago

0 Hint: use n$$^{th}$$ roots of unity

- 5 years, 5 months ago

0

- 5 years, 5 months ago

0

- 5 years, 5 months ago

- 5 years, 5 months ago

No, because here the question asks about the sum of values of x, not the sum of values of a.

- 5 years, 5 months ago

Okay.

- 5 years, 3 months ago