SOLUTION: Hello Tutor, I was hoping you could help me with this problem. Solve the following quadratic equation by completeing the square: 2x^2 + 10x + 11 = 0 Any help this

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello Tutor, I was hoping you could help me with this problem. Solve the following quadratic equation by completeing the square: 2x^2 + 10x + 11 = 0 Any help this       Log On


   



Question 103060: Hello Tutor,
I was hoping you could help me with this problem.
Solve the following quadratic equation by completeing the square:
2x^2 + 10x + 11 = 0
Any help this evening on this problem would be appreciated. Thank you.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following quadratic equation by completing the square:
2x^2 + 10x + 11 = 0
2x^2 + 10x = -11
2(x^2+5x+(5/2)^2) = -11 + 2(5/2)^2
2(x+(5/2))^2 = 6/4
(x+(5/2))^2 = 3/4
x+(5/2) = +- [sqrt3]/2
x = [-5+sqrt3]/2 or x = [-5-sqrt3]/2
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Cheers,
Stan H.