anonymous
  • anonymous
Complete the square on the following quadratic x^2+16x+9=0 what value is added to both sides of the equation. Complete the square on the following quadratic x^2+14x+4=0 what value is added to both sides of the equation.
Mathematics
chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
|dw:1439183467361:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1439183495202:dw|
jim_thompson5910
  • jim_thompson5910
take half of 16 to get 8 then square 8 to get 64. This is the value you add to both sides |dw:1439183526259:dw|

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jim_thompson5910
  • jim_thompson5910
then you'll notice that \[\Large x^2+16x+64\] factors to \[\Large (x+8)^2\] so that explains why 64 was added to both sides
anonymous
  • anonymous
that makes sense

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