Verified Answer :

\(x^{2} + 14x + 59 = 0\)

\(x = \frac{-14 +/- \sqrt{14^{2} - 4(1)(59) } }{2(1)}\)

\(x = \frac{-14 +/- \sqrt{196 - 236} }{2}\)

\(x = \frac{-14 +/- \sqrt{-40} }{2}\)

\(x = \frac{-14 +/- (- \sqrt{40)} }{2}\)

\(x = \frac{-14 +/- (-6.32455532)}{2}\)

\(x = \frac{-14 + (-6.32455532)}{2}[/tex}     [tex]x = \frac{-14 - (-6.32455532)}{2}\)

\(x = \frac{-14 - 6.32455532}{2}\)      \(x = \frac{-14 + 6.32455532}{2}\)

\(x = \frac{-20.32455532}{2}\)               \(x = \frac{-8.32455532}{2}\)

\(x = -10.16227766\)                       \(x = -4.08113883\)