giai va bien luan phuong trinh sau
x^2 -2(m+1)x-2m +5 =0
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 : 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
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 )
giai cac phuong trinh va bat phuong trinh sau:
2(x-1)-5=3(5-3x)
Giai phuong trinh \(x\sqrt{x^2-x+1}+2\sqrt{3x+1}=x^2+x+3\)
giai he phuong trinh
x+2\x+1\y=4
1\x^2+1\xy+x\y=3
cho phuong trinh 2x2+4x-1=0 co hai nghiem x1,x2. khong giai phuong trinh hay tinh gia tri cua bieu thuc A=x1x2+x13x2
Giai phuong trinh :
a+3/x+1 -5-3x/x-2=ax+3/x^2-x-2(a là tham số)