Study the equation.

x² + 6x = - 4

x = - 3+√5, - 3-√5 (exact roots)

or x = - 0.76, - 5.24 to the nearest hundredth.

Step-by-step explanation:

x² + 6x = - 4

Completing the square:

(x + 3) ^2 - 9 = - 4

(x + 3) ^2 = 5

x + 3 = + / -√5

x = - 3 + √5, - 3 - √5