Tim GTNN, GTLN cua:
\(A=\left|x-\sqrt{2}\right|+\left|y-1\right|\) voi \(\left|x\right|+\left|y\right|=5\)
tim GTNN cua bieu thuc N=\(2x^2-8x+\sqrt{x^2-4x+5}+6\)
1) Cho bieu thuc: \(B=\left(\frac{\sqrt{x}}{\sqrt{x}+4}+\frac{4}{\sqrt{x}-4}\right):\frac{x+16}{\sqrt{x}+2}\left(x\ge0,x\ne16\right)\)
a) Cho bieu thuc A= \(\frac{\sqrt{x}+4}{\sqrt{x}+2}\) ; voi cac cua bieu thuc A va B da cho, hay tim cac gia tri cua x nguyen de gia tri cua bieu thuc B(A;-1) la so nguyen
Tim GTNN cua A=\(\dfrac{a^2}{b+c}+\dfrac{b^2}{c+a}+\dfrac{c^2}{a+b}\) voi a,b,c la cac so duong va a+b+c=6
Tim GTLN,GTNN cua A\(=\dfrac{x+1}{x^2+x+1}\)
can gap juup vs
Tim GTNN cua: \(A=\frac{\left(x+a\right)\left(x+b\right)}{x}\)
cho x,y>0.tim gtnn cua D=x/y +y/x +xy/(x^2+xy+y^2)
Cho he phuong trinh
\(\left(a+1\right)x-ay=5\) (1)
\(x+ay=a^2+4a\) (2)
Tim gia tri cua a thuoc Z sao cho he phuong trinh co nghiem (x;y) voi x, y thuoc Z
1, Cho x,y≥0 thỏa mãn 2x+3y=1 Tìm GTLN, GTNN của A=x^2+3y^2
2, Cho x^2+y^2=52 Tìm GTLN, GTNN của A=2x+3y+4
3, Cho x,y>0và x+y=1 Tìm GTNN của A=(1+1x )/(1+1y )
