anonymous
  • anonymous
Does anyone know how to do a problem by completing the square? I'm so confused.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Mertsj
  • Mertsj
We all do.
anonymous
  • anonymous
yes, we do
anonymous
  • anonymous
but best to work with a specific example

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Mertsj
  • Mertsj
Even the Great Satellite stands ready to help you.
anonymous
  • anonymous
example: 4x^2 + 8x + 1 Using a^2 + 2ab + b^2 = (a + b)^2, we have (2x + 1)^2 There's other formulas.
anonymous
  • anonymous
like a^2 - 2ab + b^2 = (a - b)^2
anonymous
  • anonymous
example:3x²-6x-9=0
anonymous
  • anonymous
step number one is to divide by three and get \[x^2-2x-3=0\] then add 3 to both sides and get \[x^2-2x=3\] and now we are ready to "complete the square" although we can also solve this one by factoring
anonymous
  • anonymous
half of -2 is -1 and \[(-1)^2=1\] so you can write \[x^2-2x=3\] and then \[(x-1)^2=3+1=4\] the last step was adding 1 to both sides so that the left hand side is now a perfect square
anonymous
  • anonymous
then solve as \[(x-1)^2=4\] \[x-1=2\] or \[x-1=-2\] so \[x=3\] or \[x=-1\]

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