Question 22740
Solve by completing the square: I think you have a typo here:  -6 should be -6x

{{{x^2 -6x - 5 = 0}}} Add 5 to both sides.
{{{x^2 - 6x = 5}}} Add the square of half the x-coefficient, that's {{{((1/2)(-6))^2 = 9}}} to both sides.
{{{x^2 - 6x + 9 = 14}}} Factor the left side of the equation.
{{{(x - 3)^2 = 14}}} Take the square root of both sides then add 3 to both sides.
{{{x = 3 +- sqrt(14)}}}

The roots are:
{{{x = 3 + sqrt(14)}}}
{{{x = 3 - sqrt(14)}}}