cho phuong trinh 2x2 - mx -20 =0 (tham so m) . a; chung minh rang phuong trinh co hai nghiem trai giau voi moi m .b; tim m phuong trinh co 2 nghiem x1,x2 thoa man 2x1-x2=12
Cho phuong trinh 3x2 - (m+1)x =5 (1)
A/ chung minh rang phuong trinh (1) lun co nghiem voi moi gia tri cua m
a) Cho phuong trinh x2 +mx+1=0. Tim dieu kien cua m de phuong trinh co nghiem kep. Tinh nghiem kep do
b) Khong giai phuong trinh, chung to phuong trinh 2x2 - 3x - 5 = 0co 2 nghiem phan biet x1 , x2. Tinh ( x1 - x2 )
CHO MINH HOI VS
x^2 - 2x -3m^2 = 0 voi m la tham so
1) giai phuong trinh khi m=1
2) tim tat ca gia tri cua m de phuong trinh co 2no x1,x2 khac 0 thoa dieu kien x1/x2 - x2/x1 = 8/3
Cho phuong trinh : x2 +( 2m-1 )x +2(m-1) = 0
a) Giai phuong trinh khi m= 2
b) Chung minh phuong trinh co nghiem voi moi m
c) Tim m de phuong trinh co 2 nghiem x1 , x2 thoa man x1 ( x2 - 5 ) + x2 ( x1 - 5 ) = 33
1)Giai phuong trinh:
a) x4+4x2-5=0
b)Cho phuong trinh: x2-2(m+1)x+m2+3m-4=0(1)
Giai phuong trinh khi m=2Chung minh phuong trinh luon co nghiem voi moi m.Goi x1,x2 la nghiem cua phuong trinh,tim m de thoa man dieu kien:x12+x22=10cho pt mx^2+3x-1=0
cm phuong trinh luon co nghiem voi moi tham so m
xet phuong trinh bac an x : x^-(m-)*x+m*(m-3)=0 (1)
a) voi gia tri nao cua m thi phuong trinh (1) co 2 nghiem trai dau
b)voi gia tri nao cua m thi phuong trinh (1) co nghiem x1;x2 thoa man he thuc x mot mu 3 x hai mu 3
Cho phuong trinh x2 + (m-2)x -8 =0 voi m la tham so
tim tat ca cac gia tri cua m de phuong trinh co 2 nghiem x1 , x2 sao cho A= (x12 -1)(x22 -4) dat GTLN
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