sighn0more
  • sighn0more
Hello! Please help me work through this quadratic equation (it must be solved by completing the square): 2x^2 + 4x + 1 = 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
do you have to complete the square here?
sighn0more
  • sighn0more
Yes! So far I have moved the constant to the LHS and have factored out the 2. I don't know where to go from there.
anonymous
  • anonymous
don't factor out the 2 you have an equation, divide by 2

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anonymous
  • anonymous
\[2x^2 + 4x + 1 = 0\\2x^2 + 4x =-1\\ x^2+2x=-\frac{1}{2}\]
anonymous
  • anonymous
then complete mr square half of 2 is 1, and 1 squared is 1 go to \[(x+1)^2=-\frac{1}{2}+1\]
sighn0more
  • sighn0more
Ah, I see now. Okay, so from there I would have (x + 1)^2 = 1/2 and then x = -1 + or - radical 1/2
anonymous
  • anonymous
yes
sighn0more
  • sighn0more
Thank you! This helped a lot. Do you think that you can help me with one more problem? At least half way?

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