已知x大于0小于1,则4/x+9/(1-x)的最小值,且此时X=
问题描述:
已知x大于0小于1,则4/x+9/(1-x)的最小值,且此时X=
答
[4/x+9/(1-x)]
=[x+(1-x)]*[4/x+9/(1-x)]
=4+9+4(1-x)/x+9x/(1-x)
≥13+2*√[4(1-x)/x * 9x/(1-x)]
=13+2*6
=25
则:最小值=25
此时X=1/2