Question

已知a平方加b的平方加c的平方等于ab+bc+ac求b/a+c/b+a/c的值

Answer 1

a^2+b^2+c^2=ab+bc+ca

2a^2+2b^2+2c^2-2ab-2ac-2bc=0

(a^2-2ab+b^2)+(a^2-2ac+c^2)+(b^2-2bc+c^2)=0

(a-b)^2+(a-c)^2+(b-c)^2=0

a-b=a-c=b-c=0

a=b=c

b/a+c/b+a/c=1+1+1=3