cho x/y+z+t=y/z+t+x=z/t+x+y=t/x+y+z cmr bieu thuc sau co gia tri nguyen P=(x+y/z+t)+(y+z/t+x)+(z+t/x+y)=(t+x/y+z)
cho x/y+z+t=y/z+t+x=z/t+x+y=t/x+y+z
chung minh bieu thuc sau co gia tri nguyen
p=(x+y/z+t)+(y+z/t+x)+(z+t/x+y)+(t+x/y+z)
Cho \(\frac{x}{y+z+t}\)=\(\frac{y}{z+t+x}\)=\(\frac{z}{t+x+y}\)=\(\frac{t}{x+y+z}\)
CMR : bieu thuc sau co gia tri nguyen P = \(\frac{x+y}{z+t}\)+\(\frac{y+z}{t+x}\)+\(\frac{z+t}{x+y}\)+\(\frac{t+x}{y+z}\)
Cho \(\frac{x}{y+z+t}=\frac{y}{z+t+x}=\frac{z}{t+x+y}=\frac{t}{x+y+z}\)
Tinh gia tri cua da thuc\(P=\frac{x+y}{z+t}+\frac{y+z}{t+x}+\frac{z+t}{x+y}+\frac{t+x}{y+z}\)
Cho x ; y ; z ; t : CM : \(M=\frac{x}{x+y+z}+\frac{y}{x+y+t}+\frac{z}{y+z+t}+\frac{t}{x+z+t}\)co gia tri khong phai la so tu nhien
cmr
M=\(\frac{x}{x+y+z}+\frac{y}{x+y+t}+\frac{z}{y+z+t}+\frac{t}{x+z+t}\) (x,y,z,t\(_{\in}\) \(ℕ^∗\) ) co gia tri khong phai la so tu nhien
Cho \(\dfrac{x}{y+z+t}=\dfrac{y}{z+t+x}=\dfrac{z}{t+x+y}=\dfrac{t}{x+y+z}\)
CMR biểu thức sau có giá trị nguyên
\(A=\dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+z}{y+z}\)
bai 1:Tim x,y,z \(\varepsilon\)Z ,sao cho :|x-y|+|y-z|+|z-x|+|z-t|+|t-x|=2003
bai 2:Cho bieu thuc:E=\(\frac{5-x}{x-2}\)tim gia tri nguyen cua x de
a) E co gia tri nguyen
b)E co gia tri nho nhat
Cho x/(y+z+t)=y/(z+t+x)=z/(t+x+y)=t/(x+y+z) cmr P=(x+y)/(z+t)+(y+z)/(t+x)+(z+t)/(x+y)+(t+x)/(y+z) là biểu thức có giá trị nguyên