SOLUTION: Solve by completing the square: x^2 + 6x +1 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve by completing the square: x^2 + 6x +1 = 0      Log On


   



Question 108755: Solve by completing the square:
x^2 + 6x +1 = 0

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by completing the square:
x%5E2+%2B+6x+%2B1+=+0
x%5E2%2B6x%2B____+=+-1
x%5E2%2B6x%2B%286%2F2%29%5E2=-1%2B%286%2F2%29%5E2
x%5E2%2B6x%2B9=-1%2B9+=8
%28x%2B3%29%5E2=8
sqrt%28x%2B3%29=sqrt%288%29
x%2B3=sqrt%288%29
x=-3%2B-sqrt%288%29
x=-3-sqrt%288%29
x=-3-2.83
x=-5.83
or;
x=-3%2Bsqrt%288%29
x=-3%2B2.83
x=-.17
:)