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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=\(\frac{1}{x^2+y^2}+\frac{1}{xy}+4xy\)
5x-2√x(2+y)+y^2+1=0
Tim cap so x,y thoa man dieu kien tren
Giup di lam on.....
Cho \(B=\frac{x^3}{1+Y}+\frac{Y^3}{1+x}\) trong do x, y la cac so duong thoa man dieu kien xy = 1. CMR \(B\ge1\)
Cho cac so duong x,y thoa man dieu kien \(x^2+y^3\ge x^3+y^4\)
Chung minh \(x^3+y^3\le x^2+y^2\le x+y\le2\)
1. Cho a,b,c,d la cac so nguyen thoa man \(a^2=b^2+c^2+d^2\)
chung minh rang a.b.c.d + 2015 viet duoc duoi dang hieu cua 2 so chinh phuong.
2. Cho a,b la cac so duong thoa man dieu kien a+b=1. tim gia tri nho nhat cua bieu thuc
\(P=\frac{2+a}{\sqrt{2-a}}+\frac{2+b}{\sqrt{2-b}}\)
Cho a,b,c la cac so duong thay doi thoa man dieu kien : 5a2+2abc+4b2+3c2 =60
Tim MAX A=a+b+c
cho a,b duong thoa man dieu kien a+b=1
tim gtnn cua P=a/(can b) +b/(can a)
tim tat ca cac bo ba so (x,y,z) thoa man x+y=1+\(\sqrt{z}\) va 2x.y=1+z
cho x,y,z thoa man dieu kien :x+y+z+xy+yz+zx=6 tinh gia tri nho nhat cuax^2+y^2+z^2
