Given quadratic equation[tex][/tex][tex]x^2+6x+6=0[/tex]
Using the usual conventions,
a=1, b=6, c=6
Apply the quadratic formula,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
substitute a,b & c with numerical values,
[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(6)}}{2(1)}[/tex]
simplify:
[tex]x=\frac{-6\pm\sqrt{12}}{2}[/tex]