80 BT PT và Hệ PT (Hay)

BAI TAP HE PHONG TRINH

Giải các hệ phơng trình sau :

(OG —2000)

"hy +xy=7 yo (SP1—2000) x+y+xy=ll

xi ty? tx7y? = 21 "ai +y +3(x+y)=28

xy +y

x+y+—+—=4

9,7 (AN —99) 1 (AN — 2001)

x ty tt =4

x +xz+y+l+y=lS

\jJa?+x+y+I— x+y +x+y+l-y=2

(AN-99)

2

12,

x+ty=4

14,

(x? +y “Vx? +y)= 280

~ > (MTCN —98)

16,4”

y =3y-x

+5 + =7

20, (NN1-—2000)

° Jy+5 +V¥x-2=7

ae 2xy =16

(HH —TPHCM )

“—3xy-2x =8

22,

xˆ—2xy+3y” =9

24, (HV NH —TPHCM)

2x° —13xy+15y? =0

(HV QHOT — 2001) 5

Linh 4 pee =6x

2x'-3x=yˆ—2

5 (QG — 2000) 2yˆ-3y=x“-2

bo Se +

(QG —99)

— mm

2x+y=

19,4 (TL — 2001)

2y+x=

21,1 ` (KhốiB—2003)

LtxPy? =19x°

23, (TM — 2001) ytxy? =-6x"

2y(x? —y*)=3x

25, yx" —y")

7 (M DC —-97)

x(x" + y°)=10y

BAI TAP PHONG TRINH -BAT PHONG TRINH VO TI

Giải các phơng trình sau:

Tf x+24+Vx41 —Vx41 =4(khoiD—2005) — 8,

\x+2Ax—1 =A|x—2Ax—1 =2(BCVT —2000)

9, 3(2+Vx—2) =2x +Vx 4+ 6(HVKTOS - 01)

10, /2x? +8x+6 +x? —-1 =2x +2(BK —2000)

Joe Hine 7 = x + 1(PCCC —2001)

12, fe(x—1) +afx(x +2) = 2Vx2 (SP2—2000A)

13, J 2x2 +8146 +x? —1 =2x +2(HVKTOS — 99)

Tim m dé phong trinh :

14,Jx? +mx+2 =2x+1(KhoiB—2006) có 2 nghiệm phân biệt

15,4J2x?+mx =3—-x(SPKT—TPHCM) có nghiệm

16, J2x7 + mx —3 = x—m(GT —98) có nghiệm

Giải các phơng trình sau :

17, x? +Vx° 4+11=31 18, (+ +5)(2—x) =3V x" +3x

19, Vx? -3x434Vx? 3x46 =3(TM—98) — 20,2x?+5x-1=7Vx2—I

V3—x+x° -ðÖ2+x-+z? = 1(NT -—99)

23,0 x414+V4—x +/+ 1D(4—x)(NN — 20001)

24,547 4—x? =243xV4—22 (MDC -2001)

25,Vx-24+V4—x =x? -6x411

26, V2x-3+V5—2x +4x—x? —6 = 0(GIVT —-TPHCM — 01)

27,43x—2+Xx—-1=4x-9+243+x”“—5x+2(HVKTQS- 97)

2

2g, 2 RH — 1VX(ĐL Đông Đô—2000) 29, 9 | oN 4s [+ ++ =267 -95)

32,(4x —DvV x7 +1 =2x7 +2x+17Dé78) 33,x° +3x4+1=(x4+3)Vx° +1(GT —01)

34,2(1—x) Wx? +2x-1 =x? -2x-1 35,x° +V¥x4+1 =1(XD—98)

36, /2—x =1—-Jx—1(TCKT — 2000) 37,4Íx+7 —A|x = 1(Luật -96)

Ä'7—x —A|X—5

38, =6—-x(CĐÐ- KiểmSát) 39,x°+1=282x—I

ÄJ7— x +Ä|x—5

Giải các bất phơng trình sau :

1,J(x—1)(4—x) > x -2(M DC — 2000) 2,Vx+1>3-Vx+4(BK —99)

3,Jx+3>N2x—-8+4'7—x(AN-97) 4,Vx+2—V3-—x <V¥5—2x(TL—2000)

5,(x-3)Vx? —4 <x? -9(Dé11) mi min 3(NN — 98)

XxX

1, >x—4(SPVinh— 01) 8, —* > ———(Huế —99

9,4x?+3x+2+Ax?+6x+5 <42x?+9x+7(BK —2000)

10, Vx? 4x43 —V2x? —3x +1 > x—1(KT —2001)

11,V5x° +10x+1>7-—x° —2x(Dé135)

12, -4/(4—»(2 +4) <x? -2x-12(D 6149)

13,(x2+1)+(?+1)+3xVx+1 >0(XD—99)

14, 3x + — —<2x+ + ~7(ThaiNguyén —2000)

XxX

2Vx

15, x(x—4)N—x” +4x +(x—2} <2(HVNH —99)