Question

Solve for the x-intercepts by completing the square: x^2 + 12x + 4 = 0

Show all of your work!

Answer 1

x^2 + 12x + 4 = 0

(x + 6)^2 - 36 + 4 = 0

(x + 6)^2 =  36 - 4 = 32

x + 6 = +/- sqrt32

x = -6 + sqrt32, - 6 - sqrt32

x =  -0.34, -11.66   (answer)  correct to nearest hundredth