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 SPM Thread 08/09 (V 3), SPM is coming soon..!!!! Final days..!!

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gzavincent
post Nov 9 2008, 08:26 PM

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QUOTE(Leto Kynes @ Nov 9 2008, 07:47 PM)
I give you Add Math question from my teacher.. smile.gif

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
post Nov 9 2008, 08:30 PM

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QUOTE(KhorJyang @ Nov 9 2008, 08:28 PM)
^ i'm waiting for his answer too, what's yours?
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3rd i cant find..
1st is 4 and 2nd is 2/3...Not really sure..Forget the formula..Jusr remember SOR POR...
gzavincent
post Nov 9 2008, 08:35 PM

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Edit..Found formula...1st answer is -7/4 and 2nd is 3/4
gzavincent
post Nov 9 2008, 08:37 PM

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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
post Nov 9 2008, 08:38 PM

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QUOTE(wayn3san @ Nov 9 2008, 08:38 PM)
yeah save 1 word rite.
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Ya save 1 word...And u write tentang or not is the same mark..
gzavincent
post Nov 9 2008, 08:39 PM

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[quote=Leto Kynes,Nov 9 2008, 07:47 PM]I give you Add Math question from my teacher.. smile.gif

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
post Nov 9 2008, 08:45 PM

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QUOTE(igmroey @ Nov 9 2008, 08:40 PM)
how'd u even do question
i) ?

can't even get the x^2 + y^2
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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
post Nov 9 2008, 08:47 PM

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The 3rd ques i found sum of root but cant find product of root...
gzavincent
post Nov 9 2008, 08:48 PM

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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 pm
QUOTE(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
post Nov 9 2008, 08:54 PM

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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
post Nov 9 2008, 08:58 PM

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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
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Ya i noe this..Where u get the value to substitude into the formula??
gzavincent
post Nov 9 2008, 09:00 PM

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QUOTE(KhorJyang @ Nov 9 2008, 08:59 PM)
from the question lor...

x + y = 3/2

xy = 2
*
(x^2)(y^2)??
gzavincent
post Nov 9 2008, 09:02 PM

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QUOTE(work_tgr @ Nov 9 2008, 09:01 PM)
(xy)^2
*
Oo..Ok thx..Get the answer d..
gzavincent
post Nov 9 2008, 09:06 PM

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QUOTE(Leto Kynes @ Nov 9 2008, 09:05 PM)
I had to get help to solve the question too when I first saw it tongue.gif

But I seriously doubt they'll ask something like this in SPM anyways laugh.gif

coldblood - I'm just scanning through as well.. what to do? 9 more chapters, 2 days.. lol..
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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
post Nov 9 2008, 09:15 PM

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QUOTE(billygoh @ Nov 9 2008, 09:13 PM)
hardest chap is LOG obviously  biggrin.gif
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Log??For me is easy..Just need to move here and ther..
For me hardest is trigo and statistic..
gzavincent
post Nov 9 2008, 09:19 PM

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QUOTE(billygoh @ Nov 9 2008, 09:17 PM)
this is math or add math?
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Consider as math..But it is add math ques in paper2 1st ques...5mark..
Anser izzit x=1,15 y=3, -25
gzavincent
post Nov 9 2008, 09:24 PM

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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 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...

This post has been edited by gzavincent: Nov 9 2008, 09:24 PM
gzavincent
post Nov 9 2008, 09:34 PM

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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
post Nov 9 2008, 09:39 PM

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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 pm
QUOTE(Azurues @ Nov 9 2008, 09:37 PM)
probability or probability distribution?

i think probability aint as hard as distribution though
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Distribution...

This post has been edited by gzavincent: Nov 9 2008, 09:39 PM
gzavincent
post Nov 9 2008, 09:53 PM

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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 smile.gif
*
Now i just dunno how to get the straight line..Dunno to to sketch it

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