\(P=\frac{1}{x}+\frac{1}{y}+xy^2+x^2y=\left(\frac{1}{16x}+xy^2\right)+\left(\frac{1}{16y}+x^2y\right)+\frac{15}{16}\left(\frac{1}{x}+\frac{1}{y}\right)\)
\(\ge\frac{y}{2}+\frac{x}{2}+\frac{15}{16}.\frac{4}{x+y}\)
\(=\left(\frac{x+y}{2}+\frac{1}{2\left(x+y\right)}\right)+\frac{13}{4\left(x+y\right)}\)
\(\ge1+\frac{13}{4}=\frac{17}{4}\)
Dấu "=" xảy ra <=> x = y = 1/2
cho x,y,z la cac so thuc duong thoa man x+y+z=1 tim gia tri nho nhat cua bieu thuc M=1/16x+1/4y+1/z
1 gia tri nho nhat cua x4+x2-5.42
2.biet (x0;y0) thoa man x2+y2-4(x-y-2)=0
3. tap hop cac gia tri cua x thoa man (3x+2)2=(x+5)2
1.nghiem nho nhat cua da thuc : 11x-2x2-15
2.gia tri x nho nhat thoa man 4x2+7x+3=0
3.gia tri cua x3+y3biet x+y=2 va x2+y2=20
1. gia tri nho nhat cua x2-4\(\sqrt{2}\)x+14=0
2.trung binh cong cac gia tri cua x thoa man 4(x-1)2=x2
3.gia tri nho nhat cua x2+y2-x+6y+15
1.gia tri nho nhat cua bieu thuc A=\(\frac{x^2}{4}+3x+y^2-\frac{14}{5}y+\frac{425}{25}\)la
2.cho x, y nguyen thoa man x2+4x+y2-12=0 . khi do gia tri lon nhat P=x2+y2 la Pmax=?
giai chi tiet giup minh may bai nay nha
1 gia tri x>0 thoa man
(2x-3)2=(x+5)2
2 gia tri lon nhat cua -3x2-6x-4
3 tim gia tri cua x+y biet
x-y=2 ; x*y=99 va y <0
4 nghiem cua phuong trinh
(2x-3)2-4x2-297=0
tim gia tri nho nhat cua bieu thuc x^3+y^3 voi x+y=3
tim gia tri nho nhat cua bieu thuc P=1/x^2+x+1/y^2+y+1/z^2+z
1. tich cac gia tri x thoa man x2-\(\frac{1}{10}\)x-\(\frac{1}{5}\)+0
2.gia tri cua x de bieu thuc A=6x2+7x-8 dat gia tri nho nhat
3.tích cac gia tri cua x thoa man (2x-1)2=(2-x)2
