Answer:
The exact roots are -3 + √6, - 3 - √6
or -0.55, -5.45 to the nearest hundredth.
Step-by-step explanation:
x² + 6x + 3 = 0
We complete the square:
x^2 + 6x = -3
(x + 3)^2 - 9 = -3
(x + 3)^2 = 6
x + 3 = +/- √6
x = -2 + √6, - 3 - √6.
