Solve LaTeX:  \displaystyle  x^{2} + 18 x + 82 = 0

Using the quadratic formula gives LaTeX:  \displaystyle x=\frac{ -(18)\pm \sqrt{ (18)^2 -4(1)(82) } }{ 2(1)  }
Simplifying gives LaTeX:  \displaystyle  x=\frac{ -18 \pm \sqrt{ -4 } }{ 2 } = -9 \pm 1 i