How many real?

Algebra Level 3

The number of real roots of equation (a2+b2)x2+2a(b2+c2)x+a2+c2=0(a^2+b^2)x^2+2a(\sqrt{b^2+c^2})x+a^2+c^2=0 where a,ba,b and c c are non zero real numbers is:

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