anonymous
  • anonymous
Solve x2 + 2x + 9 = 0.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@pooja195
Directrix
  • Directrix
Is this x^2 + 2x + 9 = 0?
anonymous
  • anonymous
Yes.

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anonymous
  • anonymous
hope you are allowed complex solutions yes?
anonymous
  • anonymous
because the two answers will not be real numbers
anonymous
  • anonymous
Suppose so. These are my choices. http://prntscr.com/9262wo
anonymous
  • anonymous
oh ok since 2 is even, easiest to complete the square
anonymous
  • anonymous
subtract 9 from both sides what do you get?
anonymous
  • anonymous
4.5
anonymous
  • anonymous
Sorry I'm a little disoriented.
anonymous
  • anonymous
\[x^2+2x+9=0\] subract \(9\) from both sides
anonymous
  • anonymous
x^2 + 2x = -9
anonymous
  • anonymous
ok good
anonymous
  • anonymous
now what is half of 2?
anonymous
  • anonymous
1
anonymous
  • anonymous
right and \(1^2=1\) so go right to \[(x+1)^2=-9+1\\ (x+1)^2=-8\]
anonymous
  • anonymous
that means \[x+1=\pm\sqrt8\\ z=-1\pm\sqrt{-8}\]
anonymous
  • anonymous
Is there more to do?
anonymous
  • anonymous
write \(\sqrt{-8}\) as \(\sqrt{8}i\)
anonymous
  • anonymous
subtract 1 from both sides?
anonymous
  • anonymous
then since \(\sqrt8=2\sqrt2\) final answer is \[-1\pm2\sqrt2 i\]
anonymous
  • anonymous
Oh!
anonymous
  • anonymous
Wouldn't it be -1 +2i sqrt 2?
anonymous
  • anonymous
http://prntscr.com/9264c1 The answer choices put the i after the 2.
anonymous
  • anonymous
yeah what you said
anonymous
  • anonymous
Alright, thanks.

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