Answer
$$x=5.236,.764$$
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:
$$ x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}\\ x=3+\sqrt{5},\:x=3-\sqrt{5} \\ x=5.236,.764$$