# How do you find the roots, real and imaginary, of y=7x^2+4x + 6 using the quadratic formula?

May 6, 2016

$\frac{- 2 \pm i \sqrt{38}}{7}$
${d}^{2} = 152 {i}^{2}$ --> $d = \pm 2 i \sqrt{38}$
$x = - \frac{b}{2 a} \pm \frac{d}{2 a} = - \frac{4}{14} \pm \frac{2 i \sqrt{38}}{14} = \frac{- 2 \pm i \sqrt{38}}{7}$