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**struck** Sorry, but I should have posted the steps. I just wanted to know if I had to right idea. Ok, so far my steps were correct but at the last step, I was finding this using quadratic formula.

$\displaystyle \frac {2 \pm \sqrt{4 + 8}}{2}$

$\displaystyle \frac {2 \pm \sqrt{3} \sqrt {4}}{2}$

$\displaystyle \frac {2 \pm 2 \sqrt{3}}{2}$

The answer I am supposed to get is $\displaystyle 1 \pm \sqrt{3}$ but I am getting $\displaystyle 2 \pm \sqrt {3}$. I had, similarly, tried it without simplification at the last step ... can't seem to figure out what's wrong.