(b-a)的平方等于4(a-b)(c-a),且a不等于0,求a分之b+c的值,
问题描述:
(b-a)的平方等于4(a-b)(c-a),且a不等于0,求a分之b+c的值,
答
(b-a)^2=4(a-b)(c-a)a^2-2ab+b^2=4ac-4bc-4a^2+4ab5a^2-6ab+b^2+4bc-4ac=0(a-b)(5a-b)-4c(a-b)=0(a-b)(5a-b-4c)=0a=b5a-b-4c=05b-b=4c4b=4cb=ca=b=c(b+c)/a=2a/a=2