Originally Posted by

**Ackbeet** That's better, although there's no real need to reduce to decimal unless you're asked to do so. Technically, you should write

$\displaystyle x_{1}=\dfrac{1+\sqrt{57}}{2}\approx 4.27,$ and

$\displaystyle x_{2}=\dfrac{1-\sqrt{57}}{2}\approx -3.27.$

You don't have equality there, but a decimal approximation. Make sense?

I would reduce to decimal if it is difficult to interpret the final answer in terms of a decimal. But you have a rough order of magnitude here that's straightforward: $\displaystyle 7<\sqrt{57}<8,$ so you can see where the answers are.