But I Don't Know The Exact Values!

Algebra Level 3

(xa)(xb)+(xc)(xb)+(xc)(xa)=0 \large (x-a)(x-b)+(x-c)(x-b)+(x-c)(x-a)=0

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

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