11.Mot vai bai toan PT

Biên soạn : GV Nguyễn Trung Đăng Vài bài toán phơng trình 1. Giải và biện luận các phơng trình sau 1) ( ) ( ) 2 1 2 1 1 0m x m x m + + = 2) ( ) ( ) 2 1 3 0x m mx m x + + = 3) 1 2x mx+ = 4) (m - 2)x 2 - 2(m + 1)x + m = 0 5) (m 2 - 4)x 2 + 2(m + 2)x + 1 = 0 6)(m 3 - 4m)x 2 + 2(m - 2)x + 1 = 0 7)1 + = ax a4 ax2 x3 8) 5 7 mx x mx m = + 9) 22 2 ax a8 ax a2 ax x = + 10) 22 22 ax ba ax bax ax bax + + = + ++ 11) 2 ax b bx a = + 12) xba 1 x 1 b 1 a 1 ++ =++ 13) ba ba ba ba x 1 x + + + =+ 14) x 3 - k(x - 1) - 1 = 0 15) x 2 + mx + m = 0. 16) (a 2 + a + 1)x 2 + (2a - 3)x + a - 5 = 0. 17) x 2 - 6ax + 2 - 2a + 9a 2 = 0. 18) x 2 - 2x + 1 - a 2 = 0. 19) (m - 1)x 2 - (2m - 1)x + m + 5 = 0. 20) (2 - a)x 2 - 3ax + 2a = 0. 21) (k + 1)x 2 - kx + 1 = 0. 22) ax 2 + x + 1 = 0. 23) (m 2 - 1)x 2 + 2(m - 1)x + 1 = 0. 24) m(m + 2)x 2 + 2(m - 1)x + 1 = 0. 25) (a 2 - 5a + 4)x 2 + (a -4)x + 4 = 0. 26) (m 2 - 4)x 2 + (m + 2)x + 1 = 0. 27) (m 2 - 3m + 2)x 2 +2(m - 1)x +1 = 0 28) (m 2 - 5m + 6)x 2 + (m - 3)x + 1 = 0 29) 2 3 0 2 x a x a = + 30) (a - 1)x 2 - 2x - a = 0. 31) mx 2 - 4x - 3m + 1 = 0. 32) 0 a a x a x a + = + . 33) 1 3 1 . 2 3x a x a + = + 34) (a - 1)x 2 - 2x - a = 0 35)x 2 + mx + 1 = 0. 36)(x - 3a)(x - a - 3) = 0 37) x 2 - (m + 1)x + 3m - 5 = 0 38) (2m + 1)x 2 - 4x - 2m + 1 = 0 39) mx 2 + (3 - m)x + 1 = 0 40)x 2 - 6ax + 2 - 2a + 9a 2 = 0 41) 2(m - 1)x 2 - 4x + m = 0. 2. Giải các PT sau 1. x96x10 =+ 2. 3x27x9x3 2 =+ 3. 85x39x =++ 5. 5x35x12x7 2 =+ 6. 2 3x 1x2x1x2x + =+ 7. 24x4x4x4x =++ 8. 15x9x8x 2 =++ 9. 1x4x1 =+ 11. 5x22x3x 2 =+ 12. x4xx3 2 = 13. 1x2 1x2 1x3 2 = 14. 3x1x24x3 +=++ 15. x 2 + 9 = 6x + 4 6x6x 2 + 16. x 2 + 3 - )4x( 2 3 2x3x2 2 +=+ 17. 0xx27x12x6 22 =++ 18. (x - 3) 2 + 3x - 22 = 7x3x 2 + 19. (x - 3)(x + 1) +4(x - 3) 3x 1x + = -3 20. x 2 + 2 4x31x3x 2 +=+ 21. -x 2 + 2x + 4 10)1x)(3x( =+ 22. 3)x6)(x3(x6x3 =++++ 23. (x + 4)(x + 1) -3 62x5x 2 =++ 24. 36x3x3x3x 22 =+++ 25. x9xx9x 2 +=+ 26. 3 5x6x22x3x 23 2 +=+ 27. 21xx1xx 2 4 2 =++ 28. x + 2x17.xx17 22 =+ 29. x. 30)x35x(x35 3 33 =+ 30. 2)x3)(x1(x3x1 =++++ 31. 3 2 3 2 3 2 )1x(6)1x(4)1x( =++ 1. http://toanphothong.violet.vn Biªn so¹n : GV NguyÔn Trung §¨ng 32. 1 x )1x(2 1x x2 = + + + 33. 22 xx271x10x5 −−=++ 34. 2(x - 1) 1x2x1x2x 22 −−=−+ 35. (x - 2) 2x3x1x 22 +−=+ 36. (4x - 1) 1x2x21x 22 ++=+ 37. 5 2 x2 1 x2 x2 5 x ++=+ 38. 3x 2 - x + 48 = (3x -10). 15x 2 + 39. 5 2x 1x2 4 1x2 2x = − + + + − 40. 61x815x1x43x =−−++−++ 41. 4 41x2x ++=+ 42. 1)x1(x2)x1(x2x1x 4 =−−−+−+ 43. x11x2x 24 −=+− 44. 1x(68x1x43x −−++−−+ = 1 45. x xx x 2 3 xxxx + =−−+ 46. x. 23x2 3x2 x3 =−− − 47. x 2 + 55x =+ 48. x 2 + 11x 2 =+ 49. 3 33 3x22x1x −=−+− 50. 3x17x 4 4 =−+ 51. 31x2x 3 =++− 52. 6x12x24 3 =−++ 53. 3 32 23x1x =−−− 54. 1x 2 1 x 2 1 3 =−++ 55. 6 2 33 1x1x1x −=−−+ 56. 3)x6)(x3(x63x =−+−−++ 57. 13x34x 33 =−−+ 58. 3 3 1x221x −=+ 59. 2x14x12 33 =++− 60. 3 3 3 1x216x1x2 +−=− 61. 22 x1xx1x −=−+ 62. 2323 x22x)x1(x −=−+ 63. 1xxx21 24 −=−− 64. x3x93x93 22 −=−−−−+ 65. 2xxxx =−++ 66. 1449x14x49x14x =−−+−+ 67. 275x232x5x22x =−+++−+− 68. 9x6x69x6x −−−=−+ 69. 1x1x2x1x2x −=−−+−+ 70. 3 3 x1 x23 x23 x1 − + + + − =2 71. 4 1x 1x 1x 1x 44 = + − + − + 72. 25 x16 1x 1x x16 5 5 = − + − 73. 1 4 1 x 2 1 xx =++++ 73. 4x5x23x4x2x3x 222 +−=+−++− 74. 4x3x23x2x2xx 222 −−=−−+−− 75. 1x2x1x21 22 =+−+ 76. 4 2 4 2 4 2 1x 2 3 )1x()1x( −=+−− 77. x235x7x7xx 2 −=++++ 78. x2)1x1(2x)1x1(2x =+−+++++ 79. 02xx 2 =−− 80. 7 18x)2x(x +=− 81. 3x6x22x 2 +−=− 82. 02x5x2 2 =−− 83. x212x3x 2 −=+− 84 1x2x2x 22 −=− 85. 41x23x =−+− 2. http://toanphothong.violet.vn . Giải các PT sau 1. x96x10 =+ 2. 3x27x9x3 2 =+ 3. 85x39x =++ 5. 5x35x12x7 2 =+ 6. 2 3x 1x2x1x2x + =+ 7. 24x4x4x4x =++ 8. 15x9x8x 2 =++ 9. 1x4x1 =+ 11. 5x22x3x. 4 =−−−+−+ 43. x11x2x 24 −=+− 44. 1x(68x1x43x −−++−−+ = 1 45. x xx x 2 3 xxxx + =−−+ 46. x. 23x2 3x2 x3 =−− − 47. x 2 + 55x =+ 48. x 2 + 11x 2 =+ 49. 3