Tim GTNN của A = x^2+y^2/x^2+2xy+y^2
cho x 0,y 0, x y 2012. a, tim GTLN cua A 2x 2 8xy 2y 2 x 2 2xy y 2 b, tim GTNN cua B 1 2012 x 2 1 2012 y 2
tim gtnn a) x^2+x+5y+y^2+7
b) 2x^2+2xy+y^2+4x
cho x>0,y>0, x+y=2012.
a, tim GTLN cua A= (2x^2+8xy+2y^2)/ (x^2+2xy+y^2)
b, tim GTNN cua B=(1+(2012/x))^2+(1+(2012/y))^2
1.Tim cac cap so nguyen x,y sao cho x+y=2xy
2.Tim GTNN A = x2+3(x-1)2
1.Tim cac cap so nguyen x,y sao cho x+y=2xy
2.Tim GTNN A = x2+3(x-1)2
Bạn và phần câu hoi tương tự để tham khảo nhs !
tim GTNN : A =3xy .(x + 3y ) -2xy.(x+4y)-x2(y-1)+y2(1-x)+100
tim gtnn cua A=x^2+y^2+2xy+2x+2y+3
=(x^2+y^2+2xy)+(2x+2y)+3
=((x+y)2 +2(x+y) +1)+2
=(x+y+1)2+2
vậy Amin=2
\(A=x^2+y^2+2xy+2x+2y+3\)
<=>\(A=x^2+2x\left(y+1\right)+y^2+2y+3\)
<=>\(A=x^2+2x\left(y+1\right)+\left(y^2+2y+1\right)+2\)
<=>\(A=x^2+2x\left(y+1\right)+\left(y+1\right)^2+2\)
<=>\(A=\left(x+y+1\right)^2+2\ge2\)
cho x;yla 2 sô khac nhau x^2+2y^2+2xy+3x+3y-4=0 tim gtnn va GTLN cua A=x^2+y^2
tim GTNN cua cac don thuc a)x^2 - 4xy + 5y^2 - 2y + 3
b)x^2 - 2xy + 2y^2 - x +y