1. tim x, y, z bt: \(\dfrac{x}{y+z+1}\)= \(\dfrac{y}{x+z+1}\)= \(\dfrac{z}{x+y-z}\)= x+y+z
2. cho \(\dfrac{4z-10y}{3}\)= \(\dfrac{10x-3z}{4}\) = \(\dfrac{3y-4x}{10}\) và 2x +3y -z=40 . tìm x, y, z
3. cho \(\dfrac{y+z}{x}\)= \(\dfrac{z+x}{y}\)= \(\dfrac{x+y}{z}\) . tinh B= ( 1+\(\dfrac{x}{y+z}\)) . (1+ \(\dfrac{y}{x+z}\)). (1+\(\dfrac{z}{x+y}\))
tìm x,y,z biết : x/y+z+1=y/x+z+1=z/x+y-2=x+y+z
Tìm x,y,z biết rằng : x/y+z+1 = y/x+z+1=z/x+y-2=x+y+z
tìm x;y;z biết:
x/y+z+1=y/x+z+1=z/x+y-2=x+y+z
tìm các số x,y,z biết rằng y+z+1/x = x+z+2/y = y+x-3/z = 1/x+y+z
tim cac cap so nguyen ( x ; y ) thoa man : xy - x - y = 2
tìm x,y,z biết \(\dfrac{x}{z+y+1}=\dfrac{y}{x+z+1}=\dfrac{z}{x+y+2}=x+y+z\)
tìm x,y,z biết: \(\dfrac{x}{z+y+1}=\dfrac{y}{x+z+1}=\dfrac{z}{x+y+2}=x+y+z\)
1 tìm x,y,z biết \(\dfrac{y+z+1}{x}\) = \(\dfrac{x+z+2}{y}\)=\(\dfrac{x+y-3}{z}\)=\(\dfrac{1}{x+y+z}\)
2 cho x..y.z=2 và x+y+z=0 tính giá trị biểu thức b=(x+y).(y+z).(x+z)
3 chmr
\(\dfrac{3}{1^2.2^2}\)+ \(\dfrac{5}{2^2.3^2}\)+\(\dfrac{7}{3^2.4^2}\)+ .............+\(\dfrac{4019}{2009^2.2010^2}\)< 1
4 cho \(\dfrac{x}{y+z+t}\)=\(\dfrac{y}{z+t+z}\)=\(\dfrac{z}{t+x+y}\)=\(\dfrac{t}{x+y+z}\)
tính giá trị biểu thức M =\(\dfrac{x+y}{z+t}\)+\(\dfrac{y+z}{t+x}\)+\(\dfrac{z+t}{x+y}\)+\(\dfrac{t+x}{z+y}\)
