$${\frac{\left({\mathtt{\,-\,}}\left({\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{sqrt11}}\right)}{{\mathtt{2}}}} = {\mathtt{0.158\: \!312\: \!395\: \!177\: \!699\: \!9}}$$
my book shows 1.193 and -4.193 as answers and I havent been able to get either of those answers using a calculator from an app or online, I dont own one.
Were you solving a quadratic equation? Did you use the quadratic formula?
What was the original problem?
I believe that a mistake was made before you got the answer (-3 +√11)/2.