PHƯƠNG TRÌNH, BẤT PHƯƠNG TRÌNH VÀ HỆ PHƯƠNG TRÌNH
2 −x −x = − x
cos sin
m m
x
+
4 2
x
+
− = + + 5 3
3 2
2006 1006009 2 2007 1004 0
7
2
2
2
8
6 1 9
6 1 9
6 1 9
= +
= +
= +
9 3 6x + =1 8x3 −4x −1 10
4
6 2
cos 2x
3 1 4 tan 7
cos x x
+ + =
12
1 2z 8
3
4 0
−
< <
13
2
6 6 5 2 6 4
2 2 1
x
− + = + − +
+ ≥ +
14 3
3 3 0
2005−x + 2006−x =1
16 ( 4 )4
16cos x +3 =2048cosx−768 17 3 2x+ + =1 1 x3 +3x2 +2x
7 37 1
+ − =
+ − =
+ − =
19
3 3
1 3 82
− + =
+ =
16x −16x −20x +20x +5x +2x−7=0
11x −14x+9 + 11x −2x+3+ 17x +2x+3 = 2 2x +4
2 5 4 40 5
4
2x −11x+ 21 3− 4x−4 =0 24 2
2 3 3
25
2
2
2
4 8
4 8
4 8
− =
− =
− =
26
2
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Trang 228
2
35 12 1
x x
x
+ >
−
29 2
2
2
2
6 5
+ >
− + −
30 2 2
97 36 0
0
x
y
<
>
31
1 1
1 1
1 1
y x
x z y
y x z
z
+
= +
+
= +
+
= +
32 2008 2007 2 2
2008 2008 2007
x
x x
+ − − =
log log 3 log 2log 3
2
x
+ + = + +
2
9
2 6ln
9
2 1
+ +
− + + − =
+ +
− + =
35
16 1 8
2 8
− −
=
− + =
36
cos cos
2
1 1
x e y
−
+
=
+
36 1 1 log3( 3)
1
x
+ +
>
+ 37 cos5x+cosx=sin 3x −cosx
3x 2+ 9x +3 + 4x+2 1+x+ x +1 =0
log 4 log 8log log
2
x
+ + = + +
0
+ − + = −
+ + − =
41
2 2 3 3
2 2 3 3
y x
− = −
− = −
3 5 2 2 3 2x -3 5 2 2 3x
− − + + > − + +
2cos 3x+ 6cosx+1 =162cosx−27 44 2
2x− +1 x −3x+ =1 0
2x+3+ x+ =1 3x +2 2x +5x+3 16−
1 log 4 log 16 0
3 15
− − =
+ + =
50 ( 2 ) ( )
2
2 3 18
5 9 0
+ + =
+ + − =
1+x +1 = x +2 www.VNMATH.com
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Trang 353
2
6 3 1
1
− + + =
+ =
54
2 2
18 12
9 3
y xy
− = −
= +
55 4x +(x −12 2) x +11−x=0 56
4
4 3.4 2
3 2 log 3
+ =
+ = −
57 tan 2
cos 2
x
2 2
π π
−
57 x 1 1 1 x 1
−
− − − >
58
2 0
2 3 6 12 13 0
− + =
+ + − + =
59
2 3
2 3
2 3
2 30 16
+ − =
+ − =
+ − =
15x +11x +28= 1 3− x 61 4−3 10−3x =x−2
2 2 4
2 7 3 3 2 7
− = + −
+ − = + −
63
2cos x+2 3 sin cosx x + =1 3 sinx + 3 cosx
1 1 x 1 x 1 x 2 1 x
+ − − − + = + −
2
1 5
x
x
+
= − + − − 67 ( 2 )
2 3
68 3
3 2
70 2log7t=log3(2+t) 71 cos 6x −cos 4x=4 1 cos3( + x)
72
1 1 81 sin cos cos 4
sin cos 4
+ + + =
73 sin 4x−cos 4x= +1 4 sin( x−cosx) 74 3 ( 2)3 ( 2)
1 2 1
4x −x+10 +2x=3 2x −x + 9x −4x+4
76
8
16
2
8 3 3 4 2
xy
+ + =
+
+ = + −
77
4
4
2 1
2 4
2 1
1 4
x
y
+
+
78
3
2 3 2
x
y
+ = − −
+ − = + −
4 x + x+ = +1 1 5x +4x −2x − x 81 3 x+6+ x− =1 x2 −1
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