If $a^{2} + b^{2} + c^{2} - a b - b c - c a = 0,$ prove that $a = b = c$

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a^{2} + b^{2} + c^{2} - a b - b c - c a = 0,

prove that

a = b = c

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Question Text

a^{2} + b^{2} + c^{2} - a b - b c - c a = 0,

prove that

a = b = c

Filo tutor solution