Solve LaTeX:  \displaystyle  x^{2} + 22 x + 130 = 0

Using the quadratic formula gives LaTeX:  \displaystyle x=\frac{ -(22)\pm \sqrt{ (22)^2 -4(1)(130) } }{ 2(1)  }
Simplifying gives LaTeX:  \displaystyle  x=\frac{ -22 \pm \sqrt{ -36 } }{ 2 } = -11 \pm -3 i