x , y, z tỉ lệ 2 ,3,5
=> x: y: z = 2:3:5 => \(\frac{x}{2}=\frac{y}{3}=\frac{z}{4}\)
Đặt \(\frac{x}{2}=\frac{y}{3}=\frac{z}{5}=t\Leftrightarrow x=2t;y=3t;z=5t\)
Ta có
x - y +z = 6 => 2t - 3t + 5t = 6 => 4t = 6 => t = 3/2
=> x = 3/2 . 2 = 3
=> y = 3/2 . 3 = = 9/2
=> z = 3/2 . 5 = 15/2
=> x^2 + y^2 + z^2 = 3^2 + (9/2)^2 + (15/2)^2 =