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
gia su a,b la 2 so huu ti duong va khong phai la binh phuong cua mot so huu ti
chung minh rang :neu x,y la hai so huu ti sao cho \(m=x\sqrt{a}+y\sqrt{b}\)la so huu ti thi m=0
cho 18a+4b>=2013. chung minh rang phuong trinh sau luon co nghiem 18ax2+4bc+671-9a=0
chung minh rang phuong trinh x2 - 2(m+1)x+m-4=0 luon co hai nghiem phan biet x1 , x2 va biểu thuc
M=x1(1-x2)+x2(1-x1) khong phu thuoc vao M
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
xet ham so y=mx+2-m (1) a) ve do thi cua ham so ung voi m=-2;m=3 tren 1 mat phang toa do. tim toa do giao diem cua 2 do thi. b) chung minh rang khi m lay cac gia tri khac nhau thi do thi cua ham so (1) van luon di qua 1 diem co dinh thuoc paraboly=2x^2
xet ham so y=mx+2-m (1)
a) ve do thi cua ham so ung voi m=-2;m=3 tren 1 mat phang toa do. tim toa do giao diem cua 2 do thi.
b) chung minh rang khi m lay cac gia tri khac nhau thi do thi cua ham so (1) van luon di qua 1 diem co dinh thuoc paraboly=2x^2
cho phuong trinh ax2+bx+c=0 biet a#0 va 5a+4b+6c=0 chung minh rang phuong trinh da cho co 2 nghiem
cho he phuong trinh mx-y=m2 va 2x + my= m2 + 2m + 2
a, chung minh rang he phuonh trinh luon co 2 nghiem duy nhat voi moi m
b, tim m de bieu thuc: A = x2 + 3y + 4 nhan gia tri nho nhat
c, khi he co nghien duy nhat (x;y) chung minh M (x;y) luon nam tren duong thang co dinh