Solve x2 + 14x + 17 = - 96 for x.

Start with

x2 + 14x + 17 = - 96

set equal to 0

x2 + 14x + 113 = 0

use quadratic formula

= (-14 + / - sqrt (196 - 4 (1) 113)) / / 2

= (-14 + / - 16i) / / 2)

= - 7 + / - 8i

Step - start by setting the equation equal to 0

Use quadratic formula

Note the discriminant is negative therefore answer is a complex number. Simplify