Transcription of Équations : exercices I Exercice n°3 R I Exercice n°1
1 I Exercice n 3. quations : exercices R soudre dans R les quations suivantes : 1 2. I Exercice n 1 1. =2 2. =3. x x+1. 3 5 . 1. x = 0 2. 2x + 3 = 0. 2 3 2x + 1 7x + 1. 3. =0 4. =2. 3x 2 2x 3. 1 2. 3. 3x 5 = x 4. x+1 = x 3. 2 3 x2 2x x2 9. 5. =0 6. =0. 2+x 3x 1 1 1. 5. 2x + = 0 6. 2 (x 3) = (3x 2) + x 2 4 2 2 1 1 2. 7. =2 8. =0. 3 2x x+1 x 1. 1 2x . 7. 2x 3(x + 1) = 8. 2(x 1) = 2(x + 1) 1 9 x 1 x 2. 2 9. = 5 x 10. =0. x+1 x 2 x 1. x+1 x+2 x+3. 9. x 3(x + 1) = 2 x 10. + + = 12x 1. 2 3 4 x2 1 4. 11. = 1+ 12. 2x 7 =. x 1 x 1 2x 7. I Exercice n 2. R soudre dans R les quations suivantes : x2 + 4x 3 9x2 25. 13. =1 14. =0. 1. (x + 1)(3x 2) = 0 2. 2(1 x)(2x 5) = 0 x2 1 (x + 2) (3x + 5). x+2 x 3. (x + 1)2 (x 3) = 0 4. (4x 2) (7x + 1) (12x 6) = 0 15. + =0. x x 2. 5. (2x 1)2 = (2x 1) (x + 3) 6. (3x + 1)2 (x + 1)2 = 0. Solutions 7. (2x 1) (x + 1) = 5x + 5 8. (x + 1)2 (2x + 2) = 0 I Solutions Exercice n 1. ( ). 10 3.. 1. S = 2. S = . 9. (x 1)2 = (2x + 1)2 10. 4x2 9 2 (2x 3) + x (2x 3) = 0 9 2. 3.
2 S = {2} 4. S = {12}. 11. x2 6x + 9 = 0 12. 3x2 6x + 3 = 0. 1 24.. 13. x3 4x2 + 4x =0 14. 4x2 = 4x 1 5. S = 6. S =. 2 5. seconde - quations 1 - ). 14. ( . 4+3 2 7. S = 8. S = { 3}. 7. S = 8. S = 9. 2. 3.. n o 35.. 9. S = {2} 10. S =. 9. S = 7 + 4 3 10. S = 2. 131. 9 5.. I Solutions Exercice n 2 11. S = {0} 12. S = ;. 2 2. 2 5.. 1. S = 1 ; 2. S = 1 ;. 3 2 1.. 5.. 13. S = 14. S =. 2 3. 1 1.. 3. S = { 1 ; 3} 4. S = ; n o 7 2. 15. S = 2 ; 2. 1 1.. 5. S = ;4 6. S = 0 ; . 2 2. 7. S = { 1 ; 3} 8. S = { 1 ; 1}. 3 1.. 9. S = { 2 ; 0} 10. S = ; . 2 3. 11. S = {3} 12. S = {1}. 1.. 13. S = {0 ; 2} 14. S =. 2. I Solutions Exercice n 3. 1 1.. 1. S = 2. S = . 2 3. 1 7.. 3. S = 4. S = . 2 3. 5. S = {0 ; 2} 6. S = {3 ; 3}. seconde - quations 2.