Answer
$$x=- .764, -5.24$$
Work Step by Step
The quadratic formula states:
$$ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
Solving by using the quadratic formula to approximate the solution, we find:
$$ x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}\\ x=-3+\sqrt{5},\:x=-3-\sqrt{5}\\ x=- .764, -5.24$$