anonymous
  • anonymous
how do you go from x squared +6x+9=7+9 to get (x+3)squared = 16?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
x is a negative number or a decima maybe
anonymous
  • anonymous
x²+6x+9=7+9=16 x²+6x+9=(x+3)(x+3)=(x+3)²=16 ------------------- this step is what you're referring to?
anonymous
  • anonymous
yes

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anonymous
  • anonymous
Well, when one factors a polynomial, he searches for 2 numbers that, when mutiplied, become c and when added become b (in x²+bx+c). So, we need to find 2 numbers that, when multiplied become 9 and when added become 6.
anonymous
  • anonymous
...where did you get c and b from?
anonymous
  • anonymous
Those are variables, just like x and y. I made them up so you could understand to which numbers I'm referring to.
anonymous
  • anonymous
http://www.purplemath.com/modules/sqrquad.htm go to Solve x2 + 6x – 7 = 0 by completing the square. ...i dont get how you go from step 3 to step 4
anonymous
  • anonymous
What they're doing is, they divide b by 2, and then square that number. They than add that number to both side, so they can complete the square.
anonymous
  • anonymous
okay i dont get how to "convert the left-hand side to squared form"
anonymous
  • anonymous
That, I answered in my first answer.
anonymous
  • anonymous
Oh my god i'm an idiot, thanks.

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