Các câu hỏi tương tự
cho x,y la cac so duong thay doi va thoa man dieu kien x+y\(\le\)1. tim gia tri nho nhat cua bieu thuc M=\(\frac{1}{x^2+y^2}+\frac{1}{xy}+4xy\)
Cho cac so thuc x , y thay doi thoa man x + y = 2 . Tim gia tri nho nhat cua bieu thuc P = ( x4 + 1 )(y4 + 1) + 2013
Cho 2 so thuc x , y thoa man x^2 + 4y^2 = 8
Tim max cua M=y ( 2 x - 3 y)
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 x,y dương thoa man : x^2/9 + y^2/16 = 36. tim gia tri lon nhat cua p =x-y+2004
cho x ,y thoa man x+3y=2
tim gia tri lon nhat cua p=x2+y2
Cho he phuong trinh sau:
\(\hept{\begin{cases}\left(m+1\right)x+my=2m-1\\mx-y=m^2-2\end{cases}}\)
Tim m de he phuong trinh co nghiem duy nhat (x;y) thoa man P= xy dat gia tri lon nhat.
Tim tat ca da thuc P(x) voi he so thuc thoa man
\(P\left(P\left(x\right)+x\right)=P\left(x\right)P\left(x+1\right).\forall x\inℝ\)
Tim gtln va nho nhat cua x, y thuc thoa man:
X2 + XY + Y2 - Y = 0