cmr khong co cac so x,y,x thoa man moi dang thuc sau: A = 2x^2 + y^2 - 2xy + x + 2 = 0
chung minh rang : x2 + y2 _ 4x+2y+7>0 voi moi so thuc x,y
chung minh rang bieu thuc 4x(x+y)(x+y+z)(x+y) y^2x^2 luon luon khong am voi moi gia tri cua x,y va z
phan tich da thuc sau thanh nhan tu
xy(x+y) + yz(y+z) + xz(x+z) + 2xyz
tinh gia tri bieu thuc
3(x-3)(x+7) + (x-4)2 + 48 tai x = 0,5
chung minh rang
x2 - 6x + 10 >0 voi moi x
4x - x2 - 5 <0 voi moi x
chung minh 2x^2+2xy+4x+y^2+8>0 voi moi x,y
chứng minh x-1-x2 luon nguyen voi moi so thuc x
CMR. a, x2+y2+2xy+4>0 voi moi x,y
b,(x+3)(x-5)+2>0
c/m voi moi so thuc x,y,z ta co
x2+y2+z2+3> hoac = 2(x+y+z)
cho x,y,z đôi một khac nhau va 1/x +1/y+1/z=0 .tinh gia tri bieu thuc A=(x.y/x2+2yz)+(xz/y2+2xz)+(xy/z2+2xy)