a,b,c>0,求(b/a+a/c)(a/b+c/a)的最小值
问题描述:
a,b,c>0,求(b/a+a/c)(a/b+c/a)的最小值
RT
答
(b/a+a/c)(a/b+c/a)=2+bc/a^2+a^2/bc≥2+2√(bc/a^2*a^2/bc)=4
a,b,c>0,求(b/a+a/c)(a/b+c/a)的最小值
RT
(b/a+a/c)(a/b+c/a)=2+bc/a^2+a^2/bc≥2+2√(bc/a^2*a^2/bc)=4