Question

Study the equation.
x² + 6x = - 4

Answer 1

Answer:

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