# How do you factor and solve x^2 - 14x + 42 = 0 ?

Jul 21, 2017

$x = 7 \pm i \sqrt{6}$
$y = {x}^{2} - 14 x + 42 = 0$
$D = {d}^{2} = {b}^{2} - 4 a c = 144 - 168 = - 24$
$D = {d}^{2} = 24 {i}^{2}$ --> $d = \pm 2 i \sqrt{6}$
$x = - \frac{b}{2 a} \pm \frac{d}{2 a} = \frac{14}{2} \pm \frac{2 i \sqrt{6}}{2} = 7 \pm i \sqrt{6}$