Solve LaTeX:  \displaystyle  x^{2} + 14 x + 65 = 0

Using the quadratic formula gives LaTeX:  \displaystyle x=\frac{ -(14)\pm \sqrt{ (14)^2 -4(1)(65) } }{ 2(1)  }
Simplifying gives LaTeX:  \displaystyle  x=\frac{ -14 \pm \sqrt{ -64 } }{ 2 } = -7 \pm 4 i