Every Problem Has A Solution, isn't it?

Algebra Level 4

$\sqrt{x^2 - 4x + 3} + \sqrt{x^2 - 9} = \sqrt{4x^2 - 14x + 6 }$

How many solutions are there for the given equation?

Treat the square root as a real valued function.

1 2 No solutions 6 8 4