Question: Prove that the roots of (x a)(x b) + (x b)(x c) + (x c)(x a) = 0 are real and equal if a

Prove that the roots of (x a)(x b) + (x b)(x c) 

Prove that the roots of (x a)(x b) + (x b)(x c) + (x c)(x a) = 0 are real and equal if a = b = c.

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