Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

how would I find $x$ in the following: $$ 8.056=x+x^2+x^3+\ldots +x^{10}.$$

Well I know the right hand sides simplifies to $$x\cdot \frac{1-x^{10}}{1-x}$$ but I don't know how to proceed further.

share|cite|improve this question
Well you're trying to solve a degree $10$ polynomial equation. That is probably not possible in exact form. If you're looking just for numerical approximations of the roots then maybe you should say that in your question. In any case, if it is of any help, the roots are computed here. – Adrián Barquero Nov 6 '12 at 20:00

If you are looking for an exact solution, you might consider the rational root theorem.

share|cite|improve this answer
In case there is a rational root – Amr Nov 6 '12 at 20:08

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.