已知1/4(b-c)^2=(a-b)(c-a)且a不等于零求(b+c)/a=?

已知1/4(b-c)^2=(a-b)(c-a)且a不等于零求(b+c)/a=?
已知1/4(b-c)^2=(a-b)(c-a)且a不等于零求(b+c)/a=?

已知1/4(b-c)^2=(a-b)(c-a)且a不等于零求(b+c)/a=?
1/4(b-c)^2=(a-b)(c-a)
(b-c)^2=4(a-b)(c-a)
b^2-2bc+c^2=4ac-4a^2-4bc+4ab
b^2+2bc+c^2-4a(b+c)+4a^2=0
(b+c)^2-4a(b+c)+4a^2=0 除以a^2
[(b+c)/a]^2-4[(b+c)/a]+4=0
[(b+c)/a-2]^2=0
(b+c)/a=2