SOLUTION: Solve the quadratic equation by completing the square. 2x^2+10x+11=0 Thanks in advance.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the quadratic equation by completing the square. 2x^2+10x+11=0 Thanks in advance.      Log On


   

Question 87869: Solve the quadratic equation by completing the square.
2x^2+10x+11=0
Thanks in advance.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2 + 10x + 11 = 0
2x^2 + 10x = -11
x^2 + 5x = -11/2
(x + 5/2)^2 = -11/2 + 25/4 = -22/4 + 25/4 = 3/4
x + 5/2 = +- sqrt(3)/2
x = (-5 +- sqrt(3))/2