Solving an equation of sums
2 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
I want to find y in an equation which has the following form:
1/(1+y)^1 + 1/(1+y)^2 + 1/(1+y)^3 + 1/(1+y)^4 + 1/(1+y)^5 + 1/(1+y)^6 + 1/(1+y)^7 = c
where c is a known constant real value.
Any help could be useful. thanks in advance!
0 commentaires
Réponse acceptée
Torsten
le 2 Fév 2015
Use "roots" to calculate the real zero x0 of the polynomial
p(x)=x^8-(1+c)*x+c.
Then y0=1/x0-1 will solve your above equation.
Best wishes
Torsten.
3 commentaires
Torsten
le 2 Fév 2015
Geometric series:
x+x^2+x^3+x^4+x^5+x^6+x^7=(x^8-1)/(x-1) - 1 = (x^8-x)/(x-1)
with x=1/(1+y)
Best wishes
Torsten.
Plus de réponses (0)
Voir également
Catégories
En savoir plus sur Polynomials dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!