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anonymous
 5 years ago
How do you complete a square for example: y=x^26x+4
anonymous
 5 years ago
How do you complete a square for example: y=x^26x+4

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nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Find 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.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when 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
 5 years ago
Best ResponseYou've already chosen the best response.0Ok so no calc expierence just algebra

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0in your example: a = 1 , b=6 , c=4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in order to get the answer do I do the wuadratic formula?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0When 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
 5 years ago
Best ResponseYou've already chosen the best response.0yes, in order to get your answers for "x" you can use the quadratic formula..

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(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
 5 years ago
Best ResponseYou've already chosen the best response.0in fact, we just need to add 9 and subtract 9 to the equation to make it still equal the same amuont right? +99 = 0 and 0 added to any number doesnt change the value.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hold on ok so I just got the answer for x thru the quadratic formula now what do I do?

radar
 5 years ago
Best ResponseYou've already chosen the best response.0\[x ^{2}6x+4=y\] 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\[x ^{2}6x +(3)^{2}+4=y +(3)^{2}\] \[x ^{2}6x+9 =y49=y13\] \[(x3)^{2}=y13\]\[x3=\pm \sqrt{y13}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^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
 5 years ago
Best ResponseYou've already chosen the best response.0if you used the quadratic formula to get the answer,,,then thats your answer :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0radar did a fine job at that...great job :)

radar
 5 years ago
Best ResponseYou've already chosen the best response.0Time I finished typing it was answered LOL

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol....at least its there for the rest of posterity to read ;)
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