{[Aplusix {[modele aplusix_modele] [noms_prop (objet statut_aplusix sorte_activite_aplusix titre_aplusix auteurs_aplusix description_aplusix discipline_aplusix theme_aplusix niveau_aplusix age_aplusix mots_cles_aplusix domaine_calcul domaine_bouton_calcul niv_alg_dyn nombre_maxi_exercices exercices_aleatoires les_langues langage_repertoire lexique_multilingue commentaires_widget nombre_phases_aplusix)] [objet Aplusix] [titre_aplusix "E2 - Equations de deg~00e9 2 - Imm~00e9diat " ] [auteurs_aplusix "JFN " ] [description_aplusix "Exemples : " {frac [x^[2]] [4]}=16;({frac [x] [3]}-4)(3x+{frac [4] [3]})=0;({frac [x] [2]}-5)^[2]=0 " " ] [discipline_aplusix "Math " ] [theme_aplusix "Equations degr~00e9 2 " ] [niveau_aplusix " " ] [age_aplusix 15-16 " " ] [mots_cles_aplusix " " ] [langue_aplusix "fr " ] [nombre_phases_aplusix 6] [phases (Aplusix_Phase1 Aplusix_Phase2 Aplusix_Phase3 Aplusix_Phase4 Aplusix_Phase5 Aplusix_Phase6)] [nombre_maxi_exercices " " ] [exercices_aleatoires oui] [statut_aplusix 2] [domaine_calcul nombres_reels] [domaine_bouton_calcul calculs_7] [niv_alg_dyn 1] [les_langues " " ] [langage_repertoire " " ] [lexique_multilingue " " ] [commentaires_widget " " ] [sorte_activite_aplusix libre]}] [Aplusix_Phase1 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase1] [numero_phase 1] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for a^[2]x^[2]-{frac [b^[2]] [u^[2]]}=0 {and [1<=a<=2] [1<=b<=4] [2<=u<=5] [{hcf (b;u)}=1] {number 6}}} " " ] [exercices_aplusix 4x^[2]-{frac [16] [9]}=0 " " x^[2]-{frac [9] [25]}=0 " " x^[2]-{frac [4] [9]}=0 " " 4x^[2]-{frac [1] [16]}=0 " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase2 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase2] [numero_phase 2] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices " " 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {frac [a^[2]x^[2]] [u^[2]]}+b^[2]=0 {and [1<=a<=4] [1<=b<=4] [2<=u<=5] [{hcf (a;u)}=1] {number 6}}} " " ] [exercices_aplusix {frac [x^[2]] [25]}+9=0 " " {frac [x^[2]] [9]}+16=0 " " {frac [4x^[2]] [9]}+4=0 " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase3 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase3] [numero_phase 3] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 3 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for (ax+{frac [5] [b]})({frac [cx] [2]}-d)=0 {and {natAnd -4<=a<=4 2<=b<=4} [{natAnd 1<=c<=5 {mod c 2}=1}] [1<=d<=4] [{abs [a]}>1] {number 5}}} " " {for (ax+{frac [4] [b]})({frac [cx] [3]}-d)=0 {and {natAnd -4<=a<=4 2<=b<=4} [{natAnd 1<=c<=5 {mod c 2}=1}] [1<=d<=4] [{abs [a]}>1] {number 5}}} " " {for ({frac [cx] [2]}-d)(ax+{frac [5] [b]})=0 {and {natAnd -4<=a<=4 2<=b<=4} [{natAnd 1<=c<=5 {mod c 2}=1}] [1<=d<=4] [{abs [a]}>1] {number 5}}} " " {for ({frac [cx] [3]}-d)(ax+{frac [4] [b]})=0 {and {natAnd -4<=a<=4 2<=b<=4} [{natAnd 1<=c<=5 {mod c 2}=1}] [1<=d<=4] [{abs [a]}>1] {number 5}}} " " ] [exercices_aplusix " " " " (4x+{frac [5] [2]})({frac [5] [2]}x-1)=0 " " (-3x+{frac [5] [3]})({frac [3] [2]}x-1)=0 " " (-4x+{frac [5] [3]})({frac [x] [2]}-1)=0 " " (4x+{frac [5] [4]})({frac [x] [2]}-4)=0 " " (2x+{frac [5] [4]})({frac [5] [2]}x-3)=0 " " (4x+{frac [5] [3]})({frac [3] [2]}x-2)=0 " " " " (3x+{frac [4] [3]})({frac [3x] [3]}-3)=0 " " (-4x+2)({frac [3x] [3]}-3)=0 " " (4x+2)({frac [5x] [3]}-2)=0 " " (-4x+{frac [4] [3]})({frac [5x] [3]}-4)=0 " " " " ({frac [x] [2]}-4)(2x+{frac [5] [2]})=0 " " ({frac [x] [2]}-4)(-2x+{frac [5] [3]})=0 " " ({frac [3] [2]}x-4)(4x+{frac [5] [4]})=0 " " ({frac [x] [2]}-1)(-4x+{frac [5] [4]})=0 " " " " ({frac [x] [3]}-4)(3x+{frac [4] [3]})=0 " " ({frac [x] [3]}-1)(-2x+2)=0 " " ({frac [x] [3]}-1)(-4x+2)=0 " " ({frac [x] [3]}-4)(-2x+{frac [4] [3]})=0 " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase4 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase4] [numero_phase 4] [titre_phase " " 3 " " ] [explication_phase " " ] [nombre_maxi_exercices 3 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for ({frac [ax] [u]}+{frac [b] [v]})^[2]=0 {and {natAnd -4<=a<=4 -5<=b<=5} {natAnd 2<=u<=5 1<=v<=6} {natAnd a<>0 u<>v} [{hcf (a;u)}=1] [{hcf (b;v)}=1] {number 12}}} " " ] [exercices_aplusix " " ({frac [2] [5]}x-1)^[2]=0 " " (-{frac [1] [4]}x+{frac [3] [2]})^[2]=0 " " (-{frac [2] [5]}x+5)^[2]=0 " " ({frac [3] [4]}x-{frac [2] [3]})^[2]=0 " " ({frac [x] [2]}+4)^[2]=0 " " ({frac [4x] [3]}+{frac [1] [4]})^[2]=0 " " (-{frac [3] [4]}x+5)^[2]=0 " " (-{frac [3] [2]}x)^[2]=0 " " ({frac [x] [4]}+{frac [3] [5]})^[2]=0 " " ({frac [x] [2]}-5)^[2]=0 " " ({frac [2x] [3]}+5)^[2]=0 " " (-{frac [3] [2]}x-{frac [2] [5]})^[2]=0 " " " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase5 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase5] [numero_phase 5] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {frac [a^[2]x^[2]] [u^[2]]}=b^[2] {and [1<=a<=4] [1<=b<=4] [2<=u<=5] [{hcf (a;u)}=1] {number 6}}} " " ] [exercices_aplusix " " {frac [x^[2]] [4]}=16 " " {frac [x^[2]] [9]}=4 " " {frac [x^[2]] [25]}=9 " " {frac [9] [16]}x^[2]=16 " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase6 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase6] [numero_phase 6] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for a^[2]x^[2]=-{frac [b^[2]] [u^[2]]} {and [1<=a<=2] [1<=b<=4] [2<=u<=5] [{hcf (b;u)}=1] {number 6}}} " " ] [exercices_aplusix " " " " x^[2]=-{frac [4] [25]} " " 4x^[2]=-{frac [4] [25]} " " x^[2]=-{frac [9] [25]} " " x^[2]=-{frac [4] [9]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}]}