anonymous
  • anonymous
How do you complete a square for example: y=x^2-6x+4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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nowhereman
  • nowhereman
Find the numbers a and b so that the x^2 and x part of (ax + b)^2 and your polynomial are the same. Then add the difference in the part without x, to get equality.
anonymous
  • anonymous
you lost me
anonymous
  • anonymous
so is a 1 b 6?

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amistre64
  • amistre64
when you "complete the square", you end up with: -b/2a +- sqrt(b^2 -4ac)/2a completeing the square is just the proof of the quadratic formula
anonymous
  • anonymous
Ok so no calc expierence just algebra
amistre64
  • amistre64
in your example: a = 1 , b=-6 , c=4
amistre64
  • amistre64
just algebra :)
anonymous
  • anonymous
in order to get the answer do I do the wuadratic formula?
amistre64
  • amistre64
When we square a value for "x", we get a quadratic equation; the name quadratic is a fancy latin word meaning: we squared it and got a result.
amistre64
  • amistre64
yes, in order to get your answers for "x" you can use the quadratic formula..
amistre64
  • amistre64
(x+3)^2 = x^2 +6x +9 right? but if we have the equation: x^2 + 6x +6 we need to convert it to a "complete" square so that we can factor it.....
amistre64
  • amistre64
in fact, we just need to add 9 and subtract 9 to the equation to make it still equal the same amuont right? +9-9 = 0 and 0 added to any number doesnt change the value.
anonymous
  • anonymous
hold on ok so I just got the answer for x thru the quadratic formula now what do I do?
radar
  • radar
\[x ^{2}-6x+4=y\] Take half of the coefficient of x, in this case half of the -6 giving you a -3. Square this and add it your equation\[x ^{2}-6x +(-3)^{2}+4=y +(-3)^{2}\] \[x ^{2}-6x+9 =y-4-9=y-13\] \[(x-3)^{2}=y-13\]\[x-3=\pm \sqrt{y-13}\]
amistre64
  • amistre64
x^2 + 6x +6 x^2 +6x +9 -9 +6 (x^2 +6x +9) -3 ^^^^^^^^^ this part here is now a "completed square" (x+3)^2 - 3
amistre64
  • amistre64
if you used the quadratic formula to get the answer,,,then thats your answer :)
radar
  • radar
\[x=3\pm \sqrt{y-13}\]
amistre64
  • amistre64
radar did a fine job at that...great job :)
radar
  • radar
Time I finished typing it was answered LOL
amistre64
  • amistre64
lol....at least its there for the rest of posterity to read ;)

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