Question

Solve using the quadratic formula.

Answer 1

The quadratic formula is:
$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a}$
so...
$x = \frac{ - ( - 1) + - \sqrt{( - 1)^{2} - 4(4)( - 7) } }{2(4)}$
so simplified from calculator work

$x = \frac{1 + \sqrt{113} }{8} \: and \: \frac{1 - \sqrt{113} }{8}$