Solve LaTeX: \displaystyle x^{2} + 24 x + 313 = 0

Using the quadratic formula gives LaTeX: \displaystyle x=\frac{ -(24)\pm \sqrt{ (24)^2 -4(1)(313) } }{ 2(1) }
Simplifying gives LaTeX: \displaystyle x=\frac{ -24 \pm \sqrt{ -676 } }{ 2 } = -12 \pm -13 i