Các câu hỏi tương tự
CMR: Nếu (x-y)^2+(y-z)^2+(z-x)^2=(y+z-2x)^2 + (z+x-2y)^2 + (x+y -2z)^2 thì x=y=z
Cho các số dương x,y, z thỏa mãn xyz=1
CMR: \(\frac{x^2y^2}{2x^2+y^2+3x^2y^2}\)+\(\frac{y^2z^2}{2y^2+z^2+3y^2z^2}\)+\(\frac{z^2x^2}{2z^2+x^2+3z^2x^2}\)\(\le\)\(\frac{1}{2}\)
c) C x(y2 +z2)+y(z2 +x2)+z(x2 +y2)+2xyz.
d) D x3(y−z)+y3(z−x)+z3(x−y).
e) E (x+y)(x2 −y2)+(y+z)(y2 −z2)+(z+x)(z2 −x2).
b) x2 +2x−24 0.
d) 3x(x+4)−x2 −4x 0.
f) (x−1)(x−3)(x+5)(x+7)−297 0.
(2x−1)2 −(x+3)2 0.
c) x3 −x2 +x+3 0.
e) (x2 +x+1)(x2 +x)−2 0.
a) A x2(y−2z)+y2(z−x)+2z2(x−y)+xyz.
b) B x(y3 +z3)+y(z3 +x3)+z(x3 +y3)+xyz(x+y+z). c) C x(y2 −z2)−y(z2 −x2)+z(x2 −y2).
Đọc tiếp
c) C = x(y2 +z2)+y(z2 +x2)+z(x2 +y2)+2xyz.
d) D = x3(y−z)+y3(z−x)+z3(x−y).
e) E = (x+y)(x2 −y2)+(y+z)(y2 −z2)+(z+x)(z2 −x2).
b) x2 +2x−24 = 0.
d) 3x(x+4)−x2 −4x = 0.
f) (x−1)(x−3)(x+5)(x+7)−297 = 0.
(2x−1)2 −(x+3)2 = 0.
c) x3 −x2 +x+3 = 0.
e) (x2 +x+1)(x2 +x)−2 = 0.
a) A = x2(y−2z)+y2(z−x)+2z2(x−y)+xyz.
b) B = x(y3 +z3)+y(z3 +x3)+z(x3 +y3)+xyz(x+y+z). c) C = x(y2 −z2)−y(z2 −x2)+z(x2 −y2).
CMR (x-y)^2+(y-z)^2+(z-x)^2=(x-z-2x)^2+(z+x-2y)^2+(x+y-2z)^2 thì x=y=z
Cho x,y,z là các số thực thoả mãn x+y+z=5 và x2+y2+z2=9
CMR \(1\le x,y,z\le\frac{7}{3}\)
Cho x,y,z > 0. CMR: \(\frac{2x}{x^6+y^4}+\frac{2y}{y^6+z^4}+\frac{2z}{z^6+x^4}\le\frac{1}{x^4}+\frac{1}{y^4}+\frac{1}{z^4}\)
gần gấp!!!!!!
Cho \(x,y,z>0\)
CMR: \(\frac{x}{z^2+y^2}+\frac{y}{x^2+y^2}+\frac{z}{x^2+y^2}\le\frac{1}{2}\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)\)
Cho \(x,y,z\ge0;x+y+z=1\). CMR: \(\frac{x^2+1}{y^2+1}+\frac{y^2+1}{z^2+1}+\frac{z^2+1}{x^2+1}\le\frac{7}{2}\)
Cho x,y,z là các số thực dương thỏa mãn \(xyz=1\)
\(CMR:\frac{1}{x^2+2y^2+3}+\frac{1}{y^2+2z^2+3}+\frac{1}{z^2+2x^2+3}\le\frac{1}{2}\)