Bai tap hé phuong trinh
Giai cac hé phuong trinh sau :
1
x+y++ =4
x(x+2)(2x+y)=9
x°+4x+y=6 x+y" tatty
x? +x4+
jJA?+x+y+l+x+ y Vy +xz+y+l+y= y+l+y= 18 AN —99)
x
\jJA?+x+y+l— x+Aly +x+y+l-y=2
x(23x+2y)(x+lI)=12 ? =6?
12, AOR F AMO D = 12 yr _o7) 13/4771 =" (sp1—2000)
(x? + y?)(x? + y*) = 280 2y? —3y=x° -2
2x4+23
=3x-y y x
3
2
y
2
y +2
Vx+54 — — 2
3x= »
Bai tap phuong trinh -bat phương trình vô tỉ Giai cac phuong trinh sau:
Trang 2
7,2Vx+24+Vx41—-Vx41=4 §.Ax+2Ax—1 -AJx—2AÍx—1 =2(BCVT — 2000)
9 32+Ax-2)=2x+Ax+6(HVKTOS~01)
10,42x?+8x+6+Al+?—1=2x+2(BK —2000)
Huệ ai +NI-x” HỆ nến =x+I1I(PCCC - 200])
12, x(x — 1) + fx(x +2) = 2V'x? (SP2 —2000A)
13,V2x? 48x46 +Vx? —1 =2x+ 2(HVKTOS —99)
Tim m dé phuong trinh :
14,.Vx°+mx+2=2x4+1 có 2 nghiệm phân biệt
15,V2x? +mx =3-x(SPKT-TPHCM) — có nghiệm
16, V2x° + mx —3 = x— m(GŒT — 98) có nghiệm
Giải các phương trình sau :
19, Vx? —3x43 4Vx? —3x +6 =3(TM —98) 20,2x? +5x-1=7Vx°-1
21,07 +2x4+4=3Vx°+4x 22 43-x+x? ~A2+x—x? =I(NT-99)
23.4x+1+A'4—=x+A/(x+1)(4— x)(NN —20001)
24.x+4l4-x? =2+3x\'4-x?
25,Vx-24+V4—x =? -6x4+11
26, V2x-34+V5—2x + 4x— x? —6 =0(GIVT —TPHCM —- 01)
27,N3x—2+Xx—1=4x—-9+243+x” -5x+2(HVKTQS-97)
2
2g 2117112 _ Vy 20, | 2 +fe+— =2GT-95)
30,5 +o = 22 31,4j1+N1—3? =x+2V1—+2) 32,(4x-1Ax?+1=2x?+2x+1
x -]
33,27 +3x4+1=(x+3)Vx° +1(GT-01) 34,20 —x)Wx7 +2x-1L=x°-2x-1
gÄ/T-x-Ñx-Š x-WVx-
i x+ẩÄx ai § Giải các bất phương trình sau :
(x-](4-x) >x—2 2,Vx+1>3-Vx+4(BK —99)
3,Vx+3 >V¥2x-8 +V7—x(AN -97) 4.\x+2—\3—x <\5—2x(TL~— 2000)
_— _— 2
5.(x-3)Nx°~4<ax?—9 6, —Y!—#“” _3NNV—98)
x
0 Vx2 43x42 4002 46x45 < V2x2 49x +7(BK — 2000)
10, Vx? —4x +3 —V2x? —3x+1 > x—-1(KT —2001)
L1,V5x° +10x+1>7-x -2x 12, -4,./(4—x)(2+.x) <x°-2x-12
13,0 41) +00? +1) +3xvx +1 > O(XD —99)
14, 3Vx +e < 2x4 -7
2x 2x
15, x(x—4)V—x? + 4x + (x-2)° < 2(HVNH —99)