1. ECUACIONES DE PRIMER Y DE SEGUNDO GRADO.
1. 3 ( 1)
2 X +⋅ 2 X − = +
X 67
X=10 2. 2 ⋅ X −)= −
( 2 4 X
X=0
3. 2 (
3− X ⋅5 − X
2 )= X
4 2
+ −
X 30
X=3 4. X − ⋅ X +) = X +
3 ( 5 3 10
X=-5
5. [ ( 1 ]
3 ⋅ 2 X −3 X + ) =X +1
X=-1 6. 2 (
15 X = ⋅1 + X
9 )−3
X=1/3
7. 2 ⋅(3 X + ) = ⋅[2 X − ⋅( X − )]
2 4 5 2
X=2 8. (
3 ⋅12 −X )−X
4 2 (
= ⋅11 −X )+X
9
X=1
3X X X −6
9. 2
+2 = X +4 X=4 10. X −8 =
2
−
3
X=12
3X X  X +5 
11. X −
4
=
7
+3 X=28 12. 2 ⋅
 3 
 = X +3 X=1
9X 2X 1 5X 3X
13. 4
−6 =
3
+
3
X=4 14. 6
−
4
= X −11 X=12
3X 2X 5
15. −7 = +1 X=30 16. X −10 = ⋅ ( X −6 ) X=15
5 6 9
X 2X 3X X
17. 3
+ X =10 +
9 X=9 18. 2
+1 =12 −
3 X=6
X X 5 X −6
19. 5
+
2
= X −3 X=10 20. 4 X −7 =
4
X=2
2 X −10 7 X +2
21. =
3 X − 20 8
X=12 22. 3
= 5X −4 X=1
X 3X X 13 5X 5
23. 4
+
6
+ X = 21 X=12 24. 4
−
6
=
2
−
6
X=-16/27
X X 2X X
25. 3 X −9 +
5
= 2 X −3 X=5 26. 4
+5 =
5
−2 −
30 X=60
5X −2 X +18 X +1 X
27. −5 ⋅ ( X −20 ) = X=24 28. X + =X + X=2/3
8 6 5 2
7 −X X −3 X +1 3 + X X
29. 3X −
8
=− +
1
4
+2 X X=-1 30. 2
+
6
=1 +
3 X=0
7 X −3 3 X −1 5 X −1 4 X −3 3 X −1 4 X −2
31. 6
−
4
=
4
X=0 32. 6
−
4
=
3
−1 X=1
3 ⋅ ( X +1) X +3 3 −7 X
33. 4
−
6
+ X =2X +
12
X=0

2. 2 X +1 3 X 3 X −2
34. 4
−
9
−2 =
4 X=-15/7
X X −5 1 5 X −2
35. 3
+
2
− X =
4 2 X=-18/23
X −3 3 ⋅ ( X − 2 ) X −3 − ( X + 2 )
36. 3
−
2
=
2
X=-27/7
X +1 5 + X 9 −2 X
37. 2
+
6
=1 +
3 X=2
X +2 X −2
38. X ⋅ ( X −2 ) − = ( X −2 ) −4 X=-2/7
2
−
3 2
X2 3X +2
39. 1−
3
−
3
=1 X=-2, X=-1
(X −3)
2
= X −( X − 2 )
40. 2
−X +X 2
X=5/3, X=1
X −1
41. (X −3) −
2
=2X X=7, X=4/3
3
X ⋅ ( X − 3)
42. (X − 3) ⋅ ( X − 2 ) + = ( X − 2)
2
X=1, X=4
2
X + 2 ( X −2) ⋅ ( X + 2)
43. (X − 2) ⋅ X − − = ( X − 2) −4
2
X=-2/3, X=4
3 2
X −2
44. (X −3) −
2
+(3 − X ) ⋅ ( X −1) = ( X −2 )
2
X=-1, X=8/3
3
2 2X
45. X 2
−X =
9
−
3 X=-1/3, X=2/3
X2 5X
46. 3
+2 =
3
X=2, X=3
 X 
47. X ⋅ ( X +1) −  X +  =0 X=0, X=1/2
 2 
48. (X 1)
− −(X −)− − =
2 (X 3) 0
X=4
49. 4 ⋅ X + −⋅ X −)+ ⋅ X − −
( 1) 3 ( 2 2 ( 1) X = −
17 X
X=3
X −1
50. 3
−2 X +4 = X +1 X=1

3. 3 X +1 2 X −5
51. X −2 +
2
=X −
4 X=11/8
2 X −5 3 X +1 7
52. 5
−2 X =
4
−3 X +
10 X=3
3 ⋅ ( X −1) 4 ⋅ ( X + 3)
53. − = 2 ⋅ ( X + 2) −7 X=6/83
7 5
2 ⋅ ( X + 3) 3 ⋅ ( X − 6)
54. 3
−1 =
4
+4 X=18
2 ⋅ ( X −1) 3 ⋅ ( X − 2 ) 4 ⋅ ( X − 3) 3
55. 3
−
4
=
5
−
10
X=4
3 ⋅ ( X +1) 7
56. 2 ⋅ ( X −1) − = 6 ⋅ ( X + 2 ) +9 X − X=-22/27
6 2
1
X +
57. X
− 2 − 2 ⋅ 4 − X  = 0
  X=237/110
3 4 3 5 3 
2 4 ⋅ ( X −1) 5 1 X
58. ⋅ (8 − X ) + − = ⋅ ( X −1) − X=-5/651
3 5 8 2 3
1 2 1
X − X− X +
2− 3 = 7 −1
59. 2 4 1 X=-5/651
3 5 8
60. 5 ⋅( X − ) = ⋅[X − ⋅( X + )]
4 3 2 7
X=-11/4