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y 5
5
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2)
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2
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2x 5 y 2
3) 2
x y 1
5
y
2)
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1
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2
6)
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5)
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3
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y
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x
6)
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0
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5
5
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2
2
2:
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3 x 2 y 10
x 2y 4
4)
2)
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5
x
y
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14
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2
6)
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y
31 8 y
2:
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1)
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3
2)
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2
3 3
2
x y 3
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2)
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1)
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6
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3)
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0
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4)
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x
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x
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6
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6
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3 1 y 1
6)
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y
3
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2y
12
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4)
5)
3
2y
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5
3)
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x
0,8
5
3
1
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xy
2x
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4
6)
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4y x 5
2
6 2
2x 2 y
x 3y 2 0
2x 6 y 1 0
x 3y
.
3x 1
2x 4 3 x 5 y
4)
6)
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3x 2 2 y
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6 2
20
H
:
54
5
2
3
1)
x 3y 4
2)
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x 2
3) y 3
x y 10 0
4)
5)
2 x 3
1
3 x y 1
2 x 2
x 2 3y
2 2
2x
6)
3 y 1
y 2
3x 2 2 y
2x 3 3 y
x
3x
3x
2)
6x
1)
3
y 3
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2y
8
y 9
2x 3 y
4
3)
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2 6
x
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3
10
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6)
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9
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11
5
100
1
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1)
2)
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4
3)
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2
5)
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41
3
3y
11
5
x 2 3y
x 2y
x 2y 4 0
3 x 6 y 12 0
5 x 2y
4)
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5
2
x y
3 x y
7 x y
3 5 x 4 y 15 2 7
6)
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3x 10
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5)
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3x
6)
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3y
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2
0
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x
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2
3)
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12
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11
5
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10
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5)
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2y
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6)
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2
3y
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5
0
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t 1
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5
4)
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5)
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2)
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1)
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3)
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4021
4021
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5
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5
4)
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3
2
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3 x y
4)
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x 5 y x y 3
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4
3
12
4)
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4
2
3
x
2x
2x
2)
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2011x 2010 y
2010 x 2011 y
3)
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5)
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2
1)
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1)
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2 5 x 8 7 y 18
2 2
1)
3)
3 y 17
8m2
y 5
x y 13
3y
x 18
2)
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1)
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4
3 1
21
3)
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4x 1 3y 6
4)
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2x
6y
5
5 2
1
2 x
1
2 y
5
1
2 x
1
2 y
3
5)
2x 7 y 1
6x 1 2 y 3
2mx
1:
a/
hai ng
A
t x1, x2
A = x12
x 22 x12 x 2 x1x 22
(x1 x 2 ) 2 7
x1 x 2 1
11: Cho x2 4x + m
a/
1>
3x m
2:
x1
x2
x2
2
.
3
A
2
a/
1,
x2
a/
x13 x 32 27 .
3: Cho x2 (m 1)x m 2 = 0
x1, x2.
a/
x1, x2.
A
B
4:
5
x x x12 x22
12: Cho x2 mx + m
2 2
1 2
x12 4 x1 x2 x22
2x m2 + 4m
2 x1 x2 7 2 x1 2 x2
x12 x22 2 1 x1 x2
13: Cho x2
a/
t x1, x2
x12 x 22 4x1x 2 3
A x13 x 32
2mx 3m2 + 4m
5:
.
.
1)x
14:
m
a/
hai
m x1, x2
x1, x2
A
6: C
A x12 x2
x1 x 2
(2m + 1)x +
15: Cho x2 2x + m
a/
a/
x1, x2
2
:x
x1, x2.
7x1x 2 x12 x 22
(2m 1)x + m2 m
x12 x 22 x12 x 22 3x1x 2
.
16: Cho x2 (m + 2)x + m
a/
x1 ; x2
R.
2
1
= 6x1x2 x x
(m + 2)x m
b/
: Cho
2
2
x1, x2
a/
1, x2
.
b/
: x2
x1 x22 3x1 x2 1
A = x12 x 2 x1x 22
6x m2 + 8m 7 = 0
x x22
17: Cho 2(mx + 1) x2
1,
: Cho x
2
x2 sao
3
2
x x
(2m 1)x m2
6
x x1 x2 x22
18: Cho x(x 2m) = 2
2
1
x1, x2
0
x1, x 2 .
x1 , x 2
2
1
x1, x2
A
3
1
10
A
x13 x 32 = 0.
K
2
1
x
48
x 6 x1 x2
2
2
2mx
19:
: Cho x2 2mx + m2 m + 1 = 0
4m
a/
1,
2
1
20:
x2
a/
b/
x1, x2.
2
2
A x x x1 x2
(2m 1)x + m2
x1 ; x2 .
a/
2
1
x
b/
21:
2m 1 x2
(2m
A x1 x2 x1 x2
: Cho x2 (2m + 3)x + m2 + 3m + 2 = 0
.
8
x1 ; x2 .
a/
2
1
x
: Cho x2
b/
b/
2m 1 x2 8 17m 0
x1, x2
a/ Ch
R.
x1, x2
: Cho x2 4x + 5m2 + 2m 3 = 0
1x2 4x1 = 2.
23:
a/
3 x1 x2
x=-
.
b/
x13 x23 35 .
x1, x2
24: Cho 3(mx + 1) x2
x
: Cho x2 2(m
2
1
x
18
4 x1 x2
2
1
1,
x2 .
1,
x2 .
2
2
x
8=0
x
2
2
1)x + m2
x1 x 2
4m
1=0
1, x2.
x1x 2 x12 x 22
x22
: Cho x2
25: Cho x2 (m + 1)x m
x1, x2
P x12
x
: Cho x2 2(m + 4)x + m2
x1, x2
A
2
1
x1, x2
x22 x1 x2 3x1 3x2
A
2
1
x
9
x x1 x2 3
2
2
26: Cho x2
: Cho 2(mx + 1)
x1,
x2
x2
1,
2
1
x2
2
2
x x
27: Cho x2 (m 1)x + 2m
x1,
A
x12 4 x1 2 x22 4 x2 2
2 x12
x22
: Cho x2 4x + m = 0
x2
x1 x2 5
.
x2 x1 2
: Cho x2 2x + m 3 = 0
a/
3x1 2x2 = 7.
: Cho x2 2(2m + 1)x + 3m2 + 6m = 0
x2 .
3x1 x2
1,
A x12 x22
x12
x22
1,
2m 1 x2
x2 .
m2
: Cho x2 + 3x + m 1 = 0
x1 x
1
x12 x1 x22 x2 14 .
x1 = 2x2.
(2m 3)x + m2 2m + 1 = 0
c
x1, x2.
5x
=
16.
1
2
2x 2m2
x1, x2
a/
: Cho x2
x1, x2
1,
4
1
a/
: Cho x2
: Cho x2 + (2m 1)x + m2 = 0
A x12
x1, x2.
4
2
x2 32 x
1
x2 .
3
x12
4 x22 .
: Cho x2
: x2
a/
x1, x2.
4
1
a/
4
2
R.
x x 17 .
: Cho x2 2mx + m2 m
b/
x1; x2
x1 x2
: 4x + 2(3 2m)x + m2 3m + 2 = 0
x1, x2
2
x1 x2 8 .
: Cho x + 2mx 2m
a/
b/
2
.
2
:x
a/
b/
x1, x2
x1 x2
x22
2(m + 1)x + m + 3m
x12 x 22 x1x 2
: (m 1)x2 2(m
: x 2 2 2m 1 x 3m2 4 0
2=0
1, x2.
22
m 1)
a/
a/
1,
R.
x22 2 x1 x2 8 .
: x2 2(m 1)x 3 + m2
a/
1
nh nh t 3m
A=x1x2 + 2x1 + 2x2
1,
x2
320m2
4m
1:
= 0,
(3m 2)x
1 5x2 = 6.
50:
m.
b/
x 2.
b/
khi
c/
x1 ; x2
b/
x12
2
?
2
2:
3:
4:
5:
6:
7:
.
128m2
2
chu vi 140m
c
1176m
ao.
2
5/3
2/3
280m.
240m
150m2
2
8:
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sau v
12:
286.650.000
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?
a/ 2x
2
5x 7 = 0
c/ x 2
5 x
3
d/ 4x4
b/ x
15
2
4x 5 + 20 = 0
c/ x 2
0
12x2 + 9 = 0
2: Cho (P) : y =
1:
a/ 2x2 + 5x
1 2
x
4
1
x 2
2
(D) : y =
5 x
3
d/ 9x4
b/ x2 2x 5 + 5 = 0
7=0
15
12x2 + 4 = 0
2: Cho (P) : y =
3: Cho x2 2mx + m 2 = 0
x2
4
(D) : y =
1
x 2
2
3: Cho x2 3mx + 3m 2 = 0
.
a/
0
a/
x1, x2
x1 x2 , x1 x2 , x12
A=
2
1
x
m.
2
x2 theo m.
x1, x2
x1 x2 , x1 x2 , x12
24
x 6 x1 x2
A=
2
2
1:
a/ 4x2 + 9x = 0
c/ x2 + x = 12
b/ 2y 8 = 0
d/ 3x2 2x 6 + 2 = 0
2
f/ x 2
5 x
1
4
5 x
10
5
x
3 1 x 4
4
2
x2
.
2
.
mx + m 1 = 0
m.
3x2
x2
(P) : y =
.
4
2: a/
2
3:
.
x 1,
0
3
4
g/ 3x 2x 20 = 2x
4
x2 x 2
h/
x 1
x 1 x 2
(P) : y =
a/
x2
2 x 2 6
2 3
f/ 5 x 2
0
g/ x 3x = 2
x2 2 x x 5
h/
5
3
6
3: Cho x2
b/ 3x2 + 5x + 1 = 0
d/ 3x2 2(x 3 + 1) = 0
e/ x 2
0
2
2: a/
24
x 6 x1 x2
2
2
1:
a/ 2x2 3x = 0
c/ (x + 2)2 = 4 x
2
e/ x 2
2
1
m.
x theo m.
2
2
2.
2mx + 2m 1 = 0
.
1,
x2
theo m.
theo m.
A = x1x 2 x12 x 22
.
A = x1x 2 x12 x 22
1:
3 2
x + 27x = 0
8
c/ 9x2 = 4(3x 1)
b/ 4a4 9a2 = 0
a/
e/ x
2
d/ x2 +
2
3 x 2 3
5 = x 2
1:
3 x2 = 0
a/ 2 x3
c/ (x 3)2 = 10 4x
e/ x 2
0
f/
6 x2
b/ 9t4 4 = 0
d/ x2 = 2(3 + x 3 )
3 3 2 x 3 6
5 3 6 x
0
4 6 5
2 x2
f/ 5
g/ 3x2 + 7 = 4x4
3
2
h/
1
x 2 x 3
2 x 10 0
5
g/ 9x4 + 8x2 1 = 0
x
10 2 x
h/
x 2 x2 2x
2: a/
2: a/
x2
v (D) : y = 3x + 5.
4
(P) : y =
1
(P) : y = x 2
2
(D) : y = x + 4.
.
.
.
2
3:
.
(m + 2)x + m + 1 = 0
.
3: Cho x2 2x m2 1 = 0
1,
x2
x1 , x 2
theo m.
theo m.
1
x1
c/
x12
1
x2
2.
1(x1
1:
a/ 4b2 5b = 0
c/ x2 + 2x 63 = 0
e/ x
2
2) + x2(x2 2)
1:
a/ 2c2 5 = 0
2
b/ 3x x 2 = 0
d/ 7x2 + 1 = 2x 7
3
f/ 9 x 2 2 5
6 x 3 2
f/ x 2
3 x 2 3 1 0
g/ (2x2 1)2 = x2 + 2(x4 1)
x 5
2
h/
2
x 2 x 3
x2
2: Cho (P) : y =
(D) : y = x 1
4
(P).
.
3: Cho x2 + mx + 2m 4 = 0
a/ C
b/ 2x2 x 3 = 0
c/ 3x2 = 21 2x
e/ 3x 2
0
x22 3x1x2 = 1.
10
2
x1 x2 2 1
d/ x2
6 1 x
6 3 x
5x + 4 + 2 =0
2
6 4
g/ 3(x4 + 1) = 10x2
14
1
h/ 2
1
x 9
3 x
1
2: Cho (P) : y = x 2
(D) : y =
4
1
x + 2.
2
a/
b/
A(2 ; 1).
1,
x2 + mx + m
3: Cho
x2
1=0
a/ C
1,
x2
theo m.
i m = 1.
theo m.
c/
.
e/
x12 x 2 x1x 22
x1 2x1x2 + x2 = 5.
1:
a/ 7x
4
2
42x = 0
2
c/ 2(3x + 4) = 5x
e/ 2 x
2
2
b/ x
d/ 6x
1 2 2 x
8 =0
3
2
2x 3
2
0
1=0
1:
a/ 36x4 49 = 0
c/ 1 = 2x(2x 1)
b/ 2x2 3 6x = 0
d/ 5x2 3(2x 5 3) = 0
e/ x 2 4 5
21
5 x
f/ 1
2 x2
2 x
f/ 2
2
2
4
2
g/ (5x + 2) = 3(10x + 1)
16
30
h/
3
x 3 1 x
x2
(P) : y =
3
2:
.
(D)
M.
2
3:
5 x2
x
5 1
0
2
g/ x 29x + 100 = 0
x x 7
x x 4
h/
1
3
2
3
2:
(D) song
x
x2
song (d): y =
(P) : y
.
1
2
2
3: Cho x2 2mx + m 2 = 0
.
3mx + 3m 4 = 0
x1, x2.
b/
theo m.
c/
x1, x2
x1, x2
theo m.
c/
d/
1
x2 theo m.
x12
x 22 5x1x 2 18
24
d/
2
1:
a/ 2x2 2x = 0
c/ x2 = 6(x 1)
1:
4
18 = 0
b/ x 2
2
d/ 4x 4x 5 + 5 = 0
e/ x 2 2
f/
3 1 x 4 3
5 1 x2 2 5x
5 1
f/
1.
2
3:
.
theo m.
d/
x1, x2 th
x12 x 22 x1x 2
2
1:
a/ 25x
2
2.
(2m 1)x m = 0
b/ 16x4 25x2 = 0
3 ) = 11
d/ 2x(x
a/ x 3 6 2 x = 0
c/ 2x2 + 5x 1 = 0
e/ 4 x 2 2
a/
b/
M
2
0
g/ 3(x2 + 18) = x4
12
8
h/
1
x 1 x 1
x2
1
2: Cho (P) : y =
(d) : y = x
4
3
a/
x1, x2
x2 2 6 x1 x2
x1
.
3 1 x
3 2 x2
5
3
0
3 x
5 2 0
g/ 5(x4 1) = 24x2
x 2
6
h/
3
x 5
2 x
x2
2: Cho (P) : y =
(D) : y = x + 1.
4
a/
.
b/
-4.
2
3:
ng
+ (2m 1)x + 3m 4 = 0
.
a/
x1, x2
.
theo m.
c/
x1, x2
d/
x12 x 22 x1x 2
5
1:
a/
7=0
b/ x4 + 11x2 = 0
1
3
b/
x=0
2
4
c/ 4x2 5(4x 5) = 0
d/ x2 2 2 = 2x 3
d/ 3 x2 6x + 5 2 = 0
3x 2 3 4 0
e/ x 2
16 = 0
c/ 3(x2 + 4) + 5x = 0
3x
e/ x 2
2
6
f/ 1
4
2 x2 2 1
2 x 1 3 2
f/ x 2 2
0
2
g/ x = 8(x + 6)
x 3 x 3
h/
3
x2
2: Cho (P) : y =
2
2
g/ 3x (3x + 2) + 1 = 0
2
1
4 x
h/ 2
2
x 4 x 2 x x2 2 x
x2
2: Cho (P) : y =
4
x 1 x
2
2 1 x 1 2 2
a/
a/
b/ Cho A
2.
-2.
(4m + 1)x + 2(m 4) = 0
:
(m + 5)x m
a/
b/
c/
1
x
3
.
-3.
B
i (P).
3: Cho
0
2
1,
1,
2
1
x x 2 x1x
x2 theo m.
i m = 1.
x2
ph
1, x2
2
2
1,
x1 x2
2
65 .
x2 theo m.