1
$\begingroup$

How can we solve the equation

$a_1x^{4999} + a_2x^{4998} + a_3x^{4007}+...+a_{5000}x^{0}=n$

if we know the values $a_1,a_2,a_3,...,a_{5000},n$? Are there any open source solutions?

  • 0
    of course it is from not-so-friendly geometric-like sequence and I solved it using WolframAlpha trial and verified it myself using binary search. And it turns out that solving the equation this way was wrong for this kind of problem.2012-11-22

1 Answers 1

1

Abel–Ruffini theorem tells us you can not solve (exactly) for the roots of this polynomial, since it is of degree $>4$

  • 0
    Absolutely. I guess that I was suggesting that although the situation looks bad in general, sometimes we do get lucky.2012-11-22