Solve LaTeX: \displaystyle x^{2} - 22 x + 317 = 0

Using the quadratic formula gives LaTeX: \displaystyle x=\frac{ -(-22)\pm \sqrt{ (-22)^2 -4(1)(317) } }{ 2(1) }
Simplifying gives LaTeX: \displaystyle x=\frac{ 22 \pm \sqrt{ -784 } }{ 2 } = 11 \pm -14 i