Answer
No solution
Work Step by Step
$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$
$$ \text{Plugging in the given values:}$$
$$a=1, b=3, c=11$$
$$ x = \frac{-3 \pm \sqrt{3^2-4(1)(11)}}{2(1)}$$
$$\text{Reducing within the radical gives: } $$
$$ x = \frac{-3 \pm \sqrt{-35}}{(2)1}$$
$$\text{It is impossible to take the square root of a negative number, so there is no solution.}$$
$$\fbox{No Solution}$$
