Một số phương trình không mẫu mực

MỘT SỐ PHƯƠNG TRÌNH KHÔNG MẪU MỰC

1.( )

2 2 3x 1 9x 6x 2 x 1 4x 16x 1 + + + - + = +

2. ( ) ( )

2

2

2

2x 2x 4

2tan x x x 1

- p + - p +

= - + +

3. 3 2 2 3 2 3 10x 12x 5x 1 2x . 7x 7x 2x - + - + = - +

4.

3 3 2 2 3 2x 10x 17x 8 2x . 5x x - + - + = -

5.( )

2 2 1 1 5x 6 x

5x 7 x 1 - - = - - -

6. ( ) 3 2 x 3x 4x 2 3x 2 3x 1 + + + = + +

7. 3 3 2 8x 36x 53x - 25 3x 5 - + = -

8. ( ) 3 4x x x 1 2x 1 0 + - + + =

9.

3

x 1 2 1 x 2 2x 1 3

+ - = + + -

10. 2 9x 28x 21 x 1 - + = -

11. ( ) ( )( ) 2 2 3x. 2 9x 3 4x 2 1 x x 1 0 + + + + + + + =

12. 2 2 x 1 x x 1 2x 4x 2x+ 1 x 1 + + + + - + - = -

13. 3 3 2 27x -27x + 13x - 2 2. 2x-1 =

14. 3 2 3 4x + 18x + 27x + 14 4x+ 5 =

15.

3 3 2 2 8x -17x + 10x - 2 2 5x 1 = -

16. ( ) ( )

2 3 3 x 1 2 x 1 x 5 x 8 3x 31 0 - - - - - - - + =

17.( )( )

3 2 sinx 2 sin x sinx 1 3 3sinx 1 1 - - + = - +

18. ( ) ( ) 2 x x 1 x 3 2. 1 1 x + + + = + +

19. ( ) 3 2 2 2x 1 4x 1 x x 1 + + = + +

20. ( ) ( ) 2 4x 1 .x x 3 . 5 2x 0 + + - - =

21. 3 3 1 2 2 1 x x  

22. 3 3 2 2 3 3 2 1 2 1 2 x x x x    

23.  7 7 2 2 (2 1) 2 1 x x x x       

24. 3 4 (2 7) 2 3 0 x x x x     

25.   3 2 2 2 3 5 3 3 1 x x x x x      

26.   2 8 2 ( 6) 5 0 x x x x     

27. 3 2 3 15 78 141 5 2 9 x x x x      28. 3 2 2 3 1 2(3 1) 3 1 x x x x x     

29.     3 1 3 1 2 0 x x x x x      

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( ) ( )

3 3 2

2

2

3 2

3 2

3 6 5 4 3 2

3 3

3

30) x 15x 78x 141 5 2x 9

31) 3x 1 4x 13x 5

32) 2 2x 5 27x 144x 191

33) x x 3 2 6x x

34) x 6x 171x 40 x 1 5x 1 20 0

35) x 6 x 6 x 12x 48x 64x x 4x 0

36) 8x 4x 1 6x 1 0

37) 27x

- + - = -

+ = - + -

- = - +

- - = -

+ - - + - + =

+ + + - - - - - - =

- - - + =

+ ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )

2 2 2

2 2

3

3

3 2 2

3 3 2

3

54x 39x 10 x x 2 x x 1

38) 2x x 1 x 2x 3 x 2 x 4x 6 3 0

39) 4x 2x= 4 x 6 2x

40) x 3 2 x x x 0

41) x 2 2 4x 1 x x 1

42) x 1 8x x 32x 2 x 1 23x 23

43) x 5 x 1 1 3x 4

44)

+ + = + + + +

+ + + + + + + + + =

+ - -

- - + + =

+ + = + +

- - + + + - - = -

+ + + = +

( )( )

3 2 3

3 2 2 3

3 2 3

2

2

3 5 3 5

12x+ 7 64x 96x 40x 3

45) x 3x 2x 1 3x 3x 1 0

46) x 3x x+1 2 6x 2 0

47) 17 5 x 6x 4 2x 14 4 2x 3x 5 x

x 2x 8 48) x 1 x 2 2 x 2x+ 3 49) x 3 x 3 x 5 x 5

1 x 50) x 1 x

= + + +

- - - - + + =

+ - - + =

- + - = - + -

+ - = + + - - + + - = - + +

æ çç - çç + çè

( )

2

2

2 2 2

3

3 2 2 3

3 3 2 3

3

4(1 1 4x)

x 1 x 3x 2 51) x+ x 4 x 25 1 2 x 16

52) 1 x x x 4 x x 5 x x 3 53) x 2 x 2 x x 54) 5x 4x 5x 6 7x 9x 4

55) x 3 6x + 24x 28x+ 6

56) x + 9x

ö + + ÷÷ = ÷÷÷ + + + + ø + + + + = +

+ - + + = + + + + = + + +

- - + = + -

+ = +

( ) ( ) ( ) ( )( )

2

2 2 2

2

156x-144 20 x 2 5x 4

57) x 4x 1 - x x 1 2x 2x 1= 0

58) 1 x 1 x 2x 2x 1 2 1 2 1 2x 0

- = + +

+ + + + +

- + + + + + + =

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