X²+6x+3=0

How do I solve this

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.