Every Problem Has A Solution, isn't it?

Algebra Level 4

x24x+3+x29=4x214x+6 \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.

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