Solve LaTeX:  \displaystyle  x^{2} - 16 x + 128 = 0

Using the quadratic formula gives LaTeX:  \displaystyle x=\frac{ -(-16)\pm \sqrt{ (-16)^2 -4(1)(128) } }{ 2(1)  }
Simplifying gives LaTeX:  \displaystyle  x=\frac{ 16 \pm \sqrt{ -256 } }{ 2 } = 8 \pm -8 i