If a, b,c are real numbers and a 2 + b 2 +c 2 -ab-bc-ca=0 then show that a=b=c ?
rishirukshi:
a2 or other wise asquare plz give me a right info about the question if it is a2 then always write it as 2a but not a2
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a 2 + b 2 +c 2 -ab-bc-ca=0
sum of squares will be zero only if all the squares are
equal to zero
so ( a-b)^2=0 or a= b
(b-c)^2 =0 or b = c
(c-a )^2 =0 or c = a
so a = b = c proved
sum of squares will be zero only if all the squares are
equal to zero
so ( a-b)^2=0 or a= b
(b-c)^2 =0 or b = c
(c-a )^2 =0 or c = a
so a = b = c proved
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