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Is there a way to solve this equation for x?

$$\sqrt{x^2+8}-x-4\arctan\left(\frac{x+3}{x^2+x+6}\right) = 0$$

Numerically, I get $x \approx 1.39$, but is there a way I can get an exact solution?

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    I've converted your equation to LaTeX.2011-07-31

2 Answers 2