Question

[Nguyễn Hoàng Hiếu Anh]

cho a/b=b/c=c/d=d/a va a+b+c khac 0.

Tinh M = 2a-b/c+d + 2b-c/a+d + 2c-d/a+b + 2d-a/b+c

Answer 1

[︻̷̿┻̿═━დდDarknightდდ]

\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{d}{a}=\frac{a+b+c+d}{a+b+c+d}=1\left(\text{ vì a+b+c+d khác 0}\right)\)

\(\Rightarrow a=b=c=d\)

\(M=\frac{2a-b}{c+b}+\frac{2b-c}{a+d}+\frac{2c-d}{a+b}+\frac{2d-a}{b+c}=\frac{2a-a}{a+a}+\frac{2b-b}{b+b}+\frac{2c-c}{c+c}+\frac{2d-d}{d+d}=\frac{1}{2}.4=2\)