若|3a+4b-c|+1/4(c-2b)2=0,则a:b:c=_.
问题描述:
若|3a+4b-c|+
(c-2b)2=0,则a:b:c=______. 1 4
答
依题意得:|3a+4b-c|=0,且(c-2b)2=0,
∴
,
c=2b① 3a+4b-2b=0②
∴由②得3a=-2b,即a=-
b,2 3
∴a:b:c=-
b:b:2b=-2:3:6.2 3
故答案为:-2:3:6.