solve quadratic for max & min
1 vue (au cours des 30 derniers jours)
Afficher commentaires plus anciens
how to solve this quadratic equation for Max & Min values:
A1*x1^2 + B1*x1*x2 + C1*x2^2 + D1*x1 + E1*x2 + F1
can't find a proper explanation. Please!
0 commentaires
Réponses (1)
Walter Roberson
le 5 Déc 2012
If A1 is negative, then for every finite x2, the mininum is at x1 = +/- infinity.
If C1 is negative, then for every finite x1, the minimum is at x2 = +/- infinity.
Otherwise, for every finite x1 and finite x2, the minimum is at
x1 = (B1*E1-2*C1*D1)/(-B1^2+4*C1*A1)
x2 = -(2*A1*E1-D1*B1)/(-B1^2+4*C1*A1)
If A1 and C1 are opposite signs, then when x1 and x2 are both infinite, the minimum is undefined.
2 commentaires
Walter Roberson
le 5 Déc 2012
Modifié(e) : Walter Roberson
le 5 Déc 2012
What values do you have for x1min, x1max, x2min, x2max, and delta? You might be in a situation where one of x1min:delta:x1max or x2min:delta:x2max are empty, in which case Z would come out empty.
Also, what are z1 and z2 ?
Voir également
Catégories
En savoir plus sur Contour Plots 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!