Verified Answer :

\(x^{2} + 4x = 13\)
\(x^{2} + 4x - 13 = 13 - 13\)
\(x^{2} + 4x - 13 = 0\)
\(x = \frac{-4 +/- \sqrt{4^{2} - 4(1)(13)}}{2(1)}\)

\(x = \frac{-4 +/- \sqrt{16 - 52}}{2}\)

\(x = \frac{-4 +/- \sqrt{-36}}{2}\)

\(x = \frac{-4 +/- \sqrt{36 * (-1)}}{2}\)

\(x = \frac{-4 +/- \sqrt{36} \sqrt{-1}}{2}\)

\(x = \frac{-4 +/- 6i}{2}\)

\(x = \frac{-4 + 6i}{2}\)          \(x = \frac{-4 - 6i}{2}\)

\(x = -2 + 3i\)      \(x = 2 - 3i\)