Roots or Solutions??

Algebra Level 4

Find the number of roots of the equation:

a2(xb)(xc)(ab)(ac)+b2(xc)(xa)(bc)(ba)+c2(xa)(xb)(ca)(cb)=x2.a^2\frac{(x-b)(x-c)}{(a-b)(a-c)}+b^2\frac{(x-c)(x-a)}{(b-c)(b-a)}+c^2\frac{(x-a)(x-b)}{(c-a)(c-b)}=x^2.

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