tag:blogger.com,1999:blog-5647676850304178922.post6133243075172609076..comments2012-10-08T14:04:49.781+08:00Comments on 2012 S2-09 Maths Blog: Quadratic - completing the squareNur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-5647676850304178922.post-55650737675817468022012-03-30T11:03:52.127+08:002012-03-30T11:03:52.127+08:00is*is*Claire Kihttps://www.blogger.com/profile/05063595435781940541noreply@blogger.comtag:blogger.com,1999:blog-5647676850304178922.post-25034905595038918612012-03-30T11:03:22.851+08:002012-03-30T11:03:22.851+08:00What us Completing the Square technique?
It is a...What us Completing the Square technique?<br /><br /><br />It is a technique to factorise the general form of quadratic equations, which is ax^2 + bx + c = 0<br />In mathematics, completing the square is considered a basic algebraic operation, and is often applied without remark in any computation involving quadratic polynomials.<br />This method works when the coefficient is 1. If the coefficient is higher than 1, just divide it to get 1.<br />This is a more simplified method for factorization.Claire Kihttps://www.blogger.com/profile/05063595435781940541noreply@blogger.comtag:blogger.com,1999:blog-5647676850304178922.post-91780375113814226672012-03-30T11:02:06.709+08:002012-03-30T11:02:06.709+08:00How is the Completing the Square technique applied...How is the Completing the Square technique applied?<br /><br />Let the equation be x^2+8x=20<br /><br />Step 1) Separate the quadratic from the constant term. Ensure that the coefficient of x^2 is 1.<br /><br />Step 2) Add half the coefficient of 8x and remove the x, then square it, therefore add (8/2)^2 to both sides of the equation.<br /><br />Step 3) Simplify the equation, resulting in x^2+8x+(4)^2=20+(4)^2<br /><br />Step 4) Factorise the left side of the equation. (x+4)^2 = 36<br /><br />Step 5) Remove the square, therefore square root both sides of the equation. Remember that you have a positive and negative square root.<br /><br />Step 6) Express as 2 integers answersJonathanhttps://www.blogger.com/profile/05033990906106869679noreply@blogger.comtag:blogger.com,1999:blog-5647676850304178922.post-85036060605183905172012-03-30T11:00:51.981+08:002012-03-30T11:00:51.981+08:00Completing the square can basically find out the a...Completing the square can basically find out the answer of an quadratic equation.<br />For example:<br />x^2 + 6x + 5 = 0<br />Then,<br />(x+3)^2 - 4=0<br />So, <br />(x=3)^2=4<br />Then,<br />x+3 = -2 or x+3 = 2<br />Thus,<br />x = -5 or x= -1<br /><br />That is why completing the square is important, because it can find out any quadratic equation<br />(grp members: Boon Pin, Sylvia Soh, Gavin Chong and Kaneko Yoshiki) sorry i forgot to sign out of this accountSurgewolfxhttps://www.blogger.com/profile/16311072348036987401noreply@blogger.comtag:blogger.com,1999:blog-5647676850304178922.post-16395259183660163162012-03-30T10:51:25.884+08:002012-03-30T10:51:25.884+08:00When to use 'Completing The Square':
For y...When to use 'Completing The Square':<br />For your average everyday quadratic, you first have to use the technique of "completing the square" to rearrange the quadratic into the neat "(squared part) equals (a number)" format.<br /><br />Group Members: Kang Xiong,Ada,Yong Jie,Bryan,Teri and Jasmine.Md Adahttps://www.blogger.com/profile/12650095471579256897noreply@blogger.com