Question

Cho các số x;y;z thỏa mãn \(\frac{x}{2013}=\frac{y}{2014}=\frac{z}{2015}\)

CMR : 4(x-y)(y-z)=(z-x)²

Answer 1

Ta có : \(\dfrac{x}{2013}=\dfrac{y}{2014}=\dfrac{z}{2015}\)

Suy ra \(\dfrac{x}{2013}=\dfrac{y}{2014}=\dfrac{z}{2015}=\dfrac{x-y}{2013-2014}=\dfrac{x-y}{-1}\)