drummmlers
  • drummmlers
complete the square. x^2 - 6x + ____ show all work
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Mertsj
  • Mertsj
1/2 of 6 is?
Jhannybean
  • Jhannybean
So we want to start solving it like this: x^2 -6x + ______ = 0 + ______ In completing the square,we're trying to put the given formula in the format ax^2 + bx +c and in order to do that we need to find our C first. In finding our C, we can use what is given, b. To find C we use the formula \[\large c=(\frac{b}{2})^2\] our b in this case is -6\[\large c =(\frac{-6}{2})^2= (-3)^2 =9\]Now we add 9 to BOTH sides of the equation. \[\large x^2 - 6x +9 = 0+9\] simplifying this, we will have put it in the format \[\large (x+b)^2 = c\] so rewriting x^2 -6x + 9 = 9 we will have \[\large (x-3)^2 = 9 \] Now to write it in proper form,we will move the 9 to the other side. \[\large (x-3)^2-9=0\]
drummmlers
  • drummmlers
very good, i am still confused as to what number to fill in on the square though.

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Jhannybean
  • Jhannybean
refer to steps 2 and 3
drummmlers
  • drummmlers
got it thanks
Jhannybean
  • Jhannybean
By that i meant \[\large c =(\frac{-6}{2})^2= (-3)^2 =9\] because C is our "missing (blank spaced)" value,and we're using the value of our given, b, to solve for it. So the blank space you're trying to fill in will be found by evaluating our function his way. \[\large x^2 - 6x +9 = 0+9\] this is where you fill in those values found, the "9" you found from evaluating b

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