2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67268We give a method to solve generalized Fermat equations of type $x^4 + y^4 = q z^p$, for some prime values of $q$ and every prime $p$ bigger than 13. We illustrate the method by proving that there are no solutions for $q= 73, 89$ and 113.Number Theory11D41; 11F11text