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 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
Giai ft (m+1)x^2-2(m-1)x+m-3=0
Tim gia tri cua m de ft co 2nghiem x1,x2,thoa man x1,x2>0va x1=x2
cho phuong trinh x^2-2(m-1)+m^2-3m+4=0 a,xac dinh gia tri cua M de phuong trinh co hai nghiem phan biet x1,x2 thoa man::1/x1+1/x2 b,tim moi lien he giua x1 va x2 khong phu thuoc vao m
Cho pt x^2 -(2m+1)+m^2+m-6=0
a.cm pt luon co 2 ngo pb voi moi m
b. Goi x1, x2 la hai ngo cua pt. Tim gia tri cua m de pt co 2 ngo thoa | x1^3 - x2^3 | =50
1> cho PT : \(x^2-4x+m=0\)
a) Tim m de PT co 2 nghiem phan biet
b) Tim m de phuong trinh co 2 nghiem x1 , x2 thoa man :
\(x1^3+x2^3-5\left(x1^2+x2^2\right)=26\)
cho pt x^2-5x+3m+1=0.tim m de pt co 2 nghiem phan biet thoa man |x1^2-x2^2|=15
cho phuong trinh : x^ - 6x + m-1 =0 . tim m de phuong trinh co hai nghiem x1,x2 thoa man x1^ + x2^ =12
Tim cac gia tri cua m de tap nghiem cua phuong trinh x4 - 2(m-1)x2 -(m-3)=0 co
a, 4 phan tu
b, 3 phan tu
c, 2 phan tu
d, khong co phan tu nao (vo nghiem)