Question
Thu September 06, 2012 By: Amikha S
 

if a square + b square + c square =250 and ab+bc+ca=3,find a+b+c

Expert Reply
Thu September 06, 2012

It is known that (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

 (a + b + c)2 = 250 + 2 × 3 = 250 + 6 = 256

a + b + c = ± = ±16 = 16 or -16

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