But I Don't Know The Exact Values!

Algebra Level 3

\[ \large (x-a)(x-b)+(x-c)(x-b)+(x-c)(x-a)=0\]

Let \(a,b\) and \(c\) be real numbers. If the roots (in \(x\)) of the equation above are equal, then which of the following statements must be correct?

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