Outline ·
[ Standard ] ·
Linear+
SPM Thread 08/09 (V 3), SPM is coming soon..!!!! Final days..!!
|
gzavincent
|
Nov 9 2008, 08:26 PM
|
|
QUOTE(Leto Kynes @ Nov 9 2008, 07:47 PM) I give you Add Math question from my teacher..  If x and y are the roots of the equation 2x^2 - 3x + 4 = 0, find the value of:- i) x^2 + y^2 ii) 1/x + 1/y iii) Hence, construct the quadratic equation with the roots x^2 + 1/y and y^2 + 1/x. What's the answer?
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:30 PM
|
|
QUOTE(KhorJyang @ Nov 9 2008, 08:28 PM) ^ i'm waiting for his answer too, what's yours? 3rd i cant find.. 1st is 4 and 2nd is 2/3...Not really sure..Forget the formula..Jusr remember SOR POR...
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:35 PM
|
|
Edit..Found formula...1st answer is -7/4 and 2nd is 3/4
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:37 PM
|
|
QUOTE(wayn3san @ Nov 9 2008, 08:35 PM) no lar. if ur bm reali good oni can get 30/30 i oso get like 25 oni max i think...... T.T PETIKAN INI MEMBINCANGKAN /MEMBINCANG TENTANG! last time do exam . i never study bm. dono how to start at all...then ask fren lol. Dun put tentang...Just write petikan membincangkan
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:38 PM
|
|
QUOTE(wayn3san @ Nov 9 2008, 08:38 PM) Ya save 1 word...And u write tentang or not is the same mark..
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:39 PM
|
|
[quote=Leto Kynes,Nov 9 2008, 07:47 PM]I give you Add Math question from my teacher..  If x and y are the roots of the equation 2x^2 - 3x + 4 = 0, find the value of:- i) x^2 + y^2 ii) 1/x + 1/y iii) Hence, construct the quadratic equation with the roots x^2 + 1/y and y^2 + 1/x. 1st and 2nd i correct...But 3rd how to do???? This post has been edited by gzavincent: Nov 9 2008, 08:39 PM
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:45 PM
|
|
QUOTE(igmroey @ Nov 9 2008, 08:40 PM) how'd u even do question i) ? can't even get the x^2 + y^2 Change the 2x^2-3x+4 into x^2- 3/2x +2... Let x=alpha and y=beta.. x^2+y^2=(x+y)^2-2xy
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:47 PM
|
|
The 3rd ques i found sum of root but cant find product of root...
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:48 PM
|
|
QUOTE(work_tgr @ Nov 9 2008, 08:47 PM) If x and y are the roots of the equation 2x^2 - 3x + 4 = 0, find the value of:- i) x^2 + y^2 ii) 1/x + 1/y iii) Hence, construct the quadratic equation with the roots x^2 + 1/y and y^2 + 1/x. i) x^2 + y^2 =(x+y)^2-2xy =(SOR)^2-2(POR) =(3/2)^2-2(2) =-7/4 ii) 1/x + 1/y =(y+x)/xy = SOR/POR =(3/2)/2 =3/4 iii) x^2 + 1/y and y^2 + 1/x. (x^2 + 1/y)+(y^2 + 1/x) =(yx^2)/y+(xy^2)/x =(yx^3+xy^3)/xy =x^2+y^2 =-7/4 (x^2 + 1/y)(y^2 + 1/x) =[(yx^2)/y][(xy^2)/x] =(xy)^3/xy =(xy)^2 =4 x^2+(7/4)x+4=0 4x^2+7x+16=0 3rd answer wrong...The answer is x^2+x+6 Added on November 9, 2008, 8:49 pmQUOTE(igmroey @ Nov 9 2008, 08:47 PM) I thought we find the vale of "x" from this equation ? 2x^2 - 3x + 4 = 0 Then from there, we get the value of X ( 2 values since its ^2 ) to sub as X and Y. But cannot solve the equation. Sry, i don't know your method Formula= x^2 - (sum of root)x + product of root So change it yo general form... This post has been edited by gzavincent: Nov 9 2008, 08:49 PM
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:54 PM
|
|
QUOTE(KhorJyang @ Nov 9 2008, 08:51 PM) (x^2+1/y)(y^2+1/x) = (x^2)(y^2) + x + y + 1/xy = 4 + 3/2 + 1/2 = 6 Product of root = 6 Sum of root = -7/4 + 3/4 = -1 X^2 - (sum of root)x + (product of root) = 0 X^2+X+6 = 0 I dun understand how u do the product of root...
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 08:58 PM
|
|
QUOTE(KhorJyang @ Nov 9 2008, 08:56 PM) Hence, construct the quadratic equation with the roots x^2 + 1/y and y^2 + 1/x (x^2+1/y) is 1 root (y^2+1/x) is another root so u times them both to get product of root Ya i noe this..Where u get the value to substitude into the formula??
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:00 PM
|
|
QUOTE(KhorJyang @ Nov 9 2008, 08:59 PM) from the question lor... x + y = 3/2 xy = 2 (x^2)(y^2)??
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:02 PM
|
|
QUOTE(work_tgr @ Nov 9 2008, 09:01 PM) Oo..Ok thx..Get the answer d..
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:06 PM
|
|
QUOTE(Leto Kynes @ Nov 9 2008, 09:05 PM) I had to get help to solve the question too when I first saw it  But I seriously doubt they'll ask something like this in SPM anyways  coldblood - I'm just scanning through as well.. what to do? 9 more chapters, 2 days.. lol.. SPM will be about like that ques and slightly easier.. Added on November 9, 2008, 9:11 pmGuys..In add math which chap is hardest for u guys?? This post has been edited by gzavincent: Nov 9 2008, 09:11 PM
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:15 PM
|
|
QUOTE(billygoh @ Nov 9 2008, 09:13 PM) hardest chap is LOG obviously  Log??For me is easy..Just need to move here and ther.. For me hardest is trigo and statistic..
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:19 PM
|
|
QUOTE(billygoh @ Nov 9 2008, 09:17 PM) this is math or add math? Consider as math..But it is add math ques in paper2 1st ques...5mark.. Anser izzit x=1,15 y=3, -25
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:24 PM
|
|
QUOTE(fhNicK @ Nov 9 2008, 09:21 PM) Can be treated as both math and add math. Answer: x = 3, y = -1 ; x = 1, y = 3 Lol...Correct..I put wrong sign... Added on November 9, 2008, 9:24 pmQUOTE(fhNicK @ Nov 9 2008, 09:21 PM) Can be treated as both math and add math. Answer: x = 3, y = -1 ; x = 1, y = 3 Lol...Correct..I put wrong sign... This post has been edited by gzavincent: Nov 9 2008, 09:24 PM
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:34 PM
|
|
QUOTE(Azurues @ Nov 9 2008, 09:33 PM) form 4 and 5 chapter 5 is always the hardest of all lol form 4 - Logarithms form 5 - Trigonometric Form5probablity is harder..
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:39 PM
|
|
Guys the trigo graph straight line to to find??? For example ques, y=|sin 2x| and y=x/# ,#=pie... Find the num of solution for equation #|sin 2x|=x for 0<x<2# Added on November 9, 2008, 9:39 pmQUOTE(Azurues @ Nov 9 2008, 09:37 PM) probability or probability distribution? i think probability aint as hard as distribution though Distribution... This post has been edited by gzavincent: Nov 9 2008, 09:39 PM
|
|
|
|
|
|
gzavincent
|
Nov 9 2008, 09:53 PM
|
|
QUOTE(Azurues @ Nov 9 2008, 09:49 PM) sketching graph part aint tough but the part a) where u need to make the trigo equal to one another or making it into a product always confuse as i dont remember the formula  Now i just dunno how to get the straight line..Dunno to to sketch it
|
|
|
|
|