Answer :

[tex] x^{2} + 14x + 59 = 0[/tex]

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

[tex]x = \frac{-14 +/- \sqrt{196 - 236} }{2} [/tex]

[tex]x = \frac{-14 +/- \sqrt{-40} }{2} [/tex]

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

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

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

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

[tex]x = \frac{-20.32455532}{2} [/tex]               [tex]x = \frac{-8.32455532}{2} [/tex]

[tex]x = -10.16227766[/tex]                       [tex]x = -4.08113883[/tex]

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