Question

If a square+b square+c square=ab+bc+can, then a+c/b is equal to what?

Answer 1

Answer:

2

Step-by-step explanation:

a square+ b square+ c square=ab+bc+ac

multiply both sides by 2

2( a square+b square+c square)=2(ab+bc+ac)

2a square+2 b square+2 c square=2ab+2bc+2ac

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

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

this is of the form a- b the whole square

using a square-2ab +b square =(a-b) the whole square

(a-b) the whole square=0

implies a=b

similarly when we solve the other two we get a=b=c

substitute a+b/c=a+a/a

=2a/a=2