Question

c) C =2a/3b +3b/4c +4c/5d +5d/2a biết 2a/3b = 3b/4c = 4c/5d = 5d/2a.

Answer 1

Ta có: \(C=\dfrac{2a}{3b}+\dfrac{3b}{4c}+\dfrac{4c}{5d}+\dfrac{5d}{2a}\)

\(=\dfrac{2a}{3b}\cdot4=\dfrac{8a}{3b}\)

Answer 2

c) Vì  \(\dfrac{2a}{3b}=\dfrac{3b}{4c}=\dfrac{4c}{5d}=\dfrac{5d}{2a}\) nên theo t/c của DTSBN ta có :

\(\Rightarrow\)\(C=\dfrac{2a}{3b}+\dfrac{3b}{4c}+\dfrac{4c}{5d}+\dfrac{5d}{2a}\) = \(\dfrac{2a+3b+4c+5d}{3b+4c+5d+2a}=1\)