Bµi 1: Gi¶i ph¬ng tr×nh.
a/ x 5 3− = b/ x 10− = −2
c/ 2x 1− = 5 d / 4 5x 12− =
e/ x 5 9+ = f/ 1+ 2x 10=
g/ 2x 3 1+ = + 2 h/ 3x 2 2− = − 3
k/ x 1+ = 5 3− m/ 3 x 1 8
15
7 x 5+ =
−
n /(7− x 8)( − x) = +x 11
17 3 x 1 23 4 x 1
p/ 2x 3 2
x 1− =
− u/ 2x 3 2x 1− =
−
s/ 4x 3 3
x 1+ = + t / 4x 3 3x 1+ =
+
o / x 5 1 x+ = − i / x 4− = 2 x−
¬/ x 4 4 x− = − l / x 13 x 1+ = +
y / 4 3 x 6 5x− + = w / 3+ 2x 3 x− =
*/ x2 + + = +x 1 x 2 m* / 2+ 3+ x =3
Bµi 2: Gi¶i ph¬ng tr×nh:
a/ x 1 2− = b/ 2x 1 4− =
c/ 2x 5 4− = d/ 3 7x− =2
e*/ 1 x 1− − =2 f/ ( )2
x 1− =5 g/ x2 −8x 16 5+ =
h/ 4x2 −20x 25 1+ =
k/ 1 4x 4x− + 2 =5
m/ x 15 3x 1+ = − n/ 7 x 5x 1− = +
p/ 5x 4− = −4 5x
u / x2 −5x 4+ = +x 4
v/ x2 −10x 25 x 3+ = +
s / 25x2 −30x 9 x 7+ = +
t / x2 −22x 121 2x 15+ = −
r/ 9x2 =2x 1+
z/ x2 +6x 9 3x 1+ = −
w/ x4 =7 i/ 16x2 =3x 7+
j/ 1 9x+ 2 −6x 2x 6= +
y/ ( )2 2
x 1− + +x 21 x− −13 0=
Bµ 3: Gi¶i pt:
a/ 2x 1− + 2x 1 4+ =
b/ x2 + =x 5x2 +7x 1−
c/ 2 3x− 2 − −6 x2 =0
d/ x 1 2 x 2 3 x 3 4− − − + − =
e/ x2 − +1 x2 − =4 3
f/ 5 x 2 x− = g/ x + − −x 1 2x 1 3− = h/ x2 +2x 1+ + x2 −6x 9 4+ =
u*/ x 3 4 x 1+ − − + x 8 6 x 1 5+ − − =
v*/ x 2 x 1+ − + x 2 x 1 2− − =
Bµi 4: Gi¶i pt:
a/ 5x 1− − 3x 2+ = x 1−
b/ x 2− + 2 x 0− =
c/ x 1− + 2 1= + x
d/ x 4+ − x 4 2− =
e/ x 7+ + x 1 4+ =
f/ 3x 1+ − x 1 2− =
g/ 5 x− + x 3 2− =
h/ 2x 1+ + x 3 4− = k/ x 6+ = 2x 5− − x 1+
m/ x 4+ + x 1+ = 2x 9+ n/ 6 2x− + 4x 3 3− =
l/ 2x 3+ + x 1 1+ =
j / x 2− − x 1 2+ =
Trang 2s/ x2 − −9 3 x 3 0− =
t/ x2 − −4 2 x 2 0− =
u/ x + x 1 1+ =
o/ x 4+ + x 1 2− =
p/ 2x 1+ + x 3 4− = q/ x 1− − 5x 1− = 3x 2− w/ x 3+ − x 4 1− =
Bµi 5: Gi¶i ph¬ng tr×nh:
a/ 4x 20 x 5 1 9x 45 4
3
+ + + − + =
b / 36x 36− − 9x 9− − 4x 4 16− = − x 1−
c /2 3x 4 3x 27 3 3x− = −
d/ 3 2x 5 8x 7 18x 28− + = e/ 4x 20 x 5 1 9x 45 4
3
f/ 16x 16+ − 9x 9+ + 4x 4 16+ = − x 1+
Bµi 6*: Gi¶i pt:
a/ x 5 x 14 3
3 x 5
−
+ −
b/ ( ) (x )x
5 2 6− + 5 2 6+ =10
c/ 3x2 +2x 2 x= 2 + + −x 1 x
d/ x2 +4x 5 2 2x 3+ = +
e/ x2 −2 x 1 0− =
g/
2
x 1 x +x 1 x = −
+ + − +
h/ x4 + x2 +1993 1993=
f /
x
8 x
2
x 2
2
x 2
1 x 1
= +
+ +
+
( VÕ tr¸i cã 100 dÊu ph©n thøc)
Bµi 7: Gi¶i ph¬ng tr×nh:
a/ 4x2 − =9 0 b/x3 − =x 0
c/8x2 −0,75 0,58= d/ 2x2 −7x 0=
e/ 5 2
x 3380 0
9 − = f/x2 − =x 0
g/ 4x2 − =3 0 h/− −x2 3x 0=
k/ x2 −36 0= m/ −3x2 +7x 0=
n /x2 −20 0= l/ 2x2 +13x 0=
u/ 2x2 −12 0= v/ −3x2 +8x 0=
t/x2 + =1 0 q/−3x2 +14x 0= p/ −5x2 =0 r/x2 −14x 0= s/ 3x2 −10x 0= i/2x2 + =3 0
j / 2x2 +72 0= w / − 2x2 −1072 0=
¬ / 2x2 − 3x 0= / −56x2 +1120 0= z/x x 15( − ) (=3 108 5x− )
Bµi 8: Gi¶i pt:
a/ x2 −9x 14 0+ = b/ x2 −4x 4 9+ =
c/ 4x2 −4x 1 x+ = 2 d/ x2 −4x 12 0− =
e/x2 − − =x 2 0 f/ 4x2 −4x 3 0− =
g/x2 −3x 10 0− = h/ x2 −9x 36 0− =
k/x2 − −x 20 0= m/
2
2x −11x 12 0+ =
n/x2 − + =x 1 0 l/ 3x2 +7x 5 0+ =
s/2x2 +13x 20 0+ = t/ 3x2 +8x 4 0+ =
o/3x2 −14x 8 0+ = p/ 5x2 −6x 8 0− =
q/x2 −14x 29 0+ = r/ 3x2 −10x 7 0+ =
z/5x2 +9x 4 0+ = y/ 3x2 +8x 4 0+ =
1)3x2 −14x 8 0+ = 2) 5x2 −6x 8 0− =
3)(3x 1 1 x− ) ( + ) =15 4) x2 −2x 2 1 0+ =
5) 2x2 +7x 5 0+ = 6) 0,7x2 −2,3x 3 0− = 7)x2 − +(1 2 x) + 2 0=
Trang 38) x 2 22 − ( 3 1 x 3 2 0− ) − =
9) x2 −(2m 1 x 2m 0+ ) + =
10)x2 −(m n x mn 0+ ) + =
11) (2m 3 x− ) 2 −2mx 3 0+ =
12)x2 −2 1( + 2 x 4 3 2 0) + + = 13) 4x2 −2 1( + 3 x) + 3 0=
14)( ) (2 )2
5x 3− − 5x 3+ = +x 3 15) ( ) (2 )2 ( )
x 2− − +x 3 =2 x 5−
Bµi 9: Gi¶i pt:
1) x4 −7x2 +12 0=
2) x4 −18x2 +81 0=
3) 4x4 −5x2 − =9 0
4) x4 − + =x2 1 0
5) 2x4 +5x2 − =7 0
6) 2x4 +5x2 − =7 0
3 −2 + =6
8/ 3x4 − −(2 3 x) 2 − =2 0 9/ 2
2
1
x
10/ ( 2 )2 ( )
x +1 −x x 1− + + =x 1 0 11/ −2x4 −7x2 − =5 0
12/3x4 +11x2 −14 0=
13/ x4 − +(2 3 x) 2 +2 3 0=
Bµi 10: Gi¶i pt:
a/( )2
x 1− − =4 0 b/ ( )2
2x 3− −16 0=
c/( )2 ( )2
x 1− −4 x 3+ =0
d/ x4 +4x2 + =4 16x2 −8x 1+
e/ x3 −4x2 +8x 8 0− =
f/ ( 2 )2 ( 2 )
x +x +4 x + −x 12 0=
g/ (x2 − +x 1 x) ( 2 − + −x 2) 12 0=
h/ x2 12 x2 14 x2 18 x2 16
− − − = − − −
k*/ 2
2
u/ x5 + +x2 2x 2 0+ =
i/ (x 2 x 3− ) ( − =) 0
Þ/ (x 1 x 2 x 3+ ) ( + ) ( − =) 0
o/ ( )3
x 3− =27
p/
3
x
8
x 1
w*/ ( )2 2
x 3− +x =0
z*/ ( ) (2 )2
x 2y+ + −y 1 =0 y*/ x2 −2 x 1 0− =
1) x4 +2x3 −6x2 +2x 1 0+ = 2) x x 1 x 2 x 3( + ) ( + ) ( + =) 3
3) x2 +4x 5 2 2x 3+ = + 4) x3 +3x2 +3x 1 0+ = 5) x4 −4x2 + + =x 2 0
6/ x4 − −x3 3x 3 0+ =
7/ ( 2 )2 2( )2
2x −3x 4− −x x 1− =0 8/ x3 −3x2 −3x 9 0+ =
9*/ x 3 x 4 49
3 + + + =x 4 x 12 10*/ x x 1 2 0
x 1 x
+
+
11/ ( 2 )2 ( 2 )
x −5x −30 x −5x −216 0=
12/
2
13/ ( )2 ( )2
9 3x 2+ −4 7 2x− =0
14/ ( 2 )2 ( )
y +5y −8y y 5+ −84 0=
15*/ (y2 − −5) 5 y2 − =5 6
Trang 416*/ x 1 x 2 x 3 x 4
+ + + = + + +
17*/ ( ) (4 )4
x 3+ + +x 5 =9
18*/ x2 −8 x[ ]+ =7 0 19*/ x4 + x2 +1993 1993= 20*/ (x2 + +x 1 x) ( 2 + +x 12) =12
Bµi 11: Gi¶i pt:
a/ x 4 2x 3 2
2x 3 x 4
b/ ( ) ( )2
x x 2 − x 1 =12
+ +
c/
0 2x 1 2x− 4=
− −
d/ 2x 1 3 x 1( )
6
x 1 x 1
−
− +
e/ x 4 2x 3 2
2x 3 x 4
f/ 1 1 1
x 1 x 9+ = x
− −
/ 2y 3 2 2 1
y 9 6y 2y+ =y 3y
¬/
3 2
x 2x x 2+ x 1 x 2 = x 1
− − − − − +
g/ 2x 5 x 0
2x+ −2x 5=
+
x x 5 x+ x 4 = −
h/
2
x x 1 x x 1
− + +
x 1 x 1 x 4+ + =
m*/ 3
3
+ = +
n*/ 3
3
8
x x
−
u*/
x 1 x 1 x 1 x 1
0
x 1 x 1 x 1 x 1
s/
2
x 9 3 x x 3 3 x
−
t/ x 1 x 1 3
x 1 x 1
− +
i/
2
j/ x 2 16x 7 0 2x+ − x 2+ =
+