cho phuong trinh : x^ - 6x + m-1 =0 . tim m de phuong trinh co hai nghiem x1,x2 thoa man x1^ + x2^ =12
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 +( 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
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
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 phuong trinh 3x2 - (m+1)x =5 (1)
A/ chung minh rang phuong trinh (1) lun co nghiem voi moi gia tri cua m
cho phuong trinh 2x^2+mx+2n+8=0 (voi m;n thuoc Z) gia su phuong trinh co 2 nghiem deu nguyen chung minh m^2+n^2 la hop so
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 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
