Evaluate a2+b2+c2

manpreet Best Answer 3 years ago

I found this questions from past com/tag/year">year com/tag/maths">maths com/tag/competition">competition in my country, I've tried any possible com/tag/way">way to find it, but it is just com/tag/way">way too hard.

If a,b,ca,b,c are distinct numbers such that a2−bc=2014a2−bc=2014, b2+ac=2014b2+ac=2014, c2+ab=2014c2+ab=2014. Then compute a2+b2+c2a2+b2+c2

(A)40304030 (B)40284028 (C)40264026 (D)40004000 (E)20142014

Adding these three equations together