[Maths HELP!] Factorising...

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For A level im hopefully doing:
ICT
Art
Photography
Psychology

I just hope i get my 5 A*-C grades so i can get into sixth form
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Haha, you can get them easy. You dont need specific grades for my Sixth Form, with the one exception of you have to have a B in Maths GCSE to be able to do maths...
 
Yeah thats the same for our maths to. Im so happy that i have no more maths...ever!
Well im off to bed now, gotta be awake for tommorow
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Good luck you guys!
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Haha, yeah, i'm off too, need an early night and all, but will probably not be able to sleep and end up playing Speed Racer or something XP


G'luck everyone with exams tomorra
 
If N = pq with p and q primes
then phi(N) = (p - 1)(q - 1)

phi(N) = (p - 1)(q - 1) = pq + 1 - (p + q)

A = N + 1 - [3/sqrt(2)] sqrt(N)
A = pq + 1 - [3/sqrt(2)] sqrt(pq)

phi(N) > A p + q < [3/sqrt(2)] sqrt(pq)
2p² + 4pq + 2q² < 9pq
2p² - 5pq + 2q² < 0
(2p - q)(p - 2q) < 0

it's true because p > q thus 2p - q > 0
and p < 2q thus p - 2q < 0


B = N - 2sqrt(N) = pq - 2sqrt(pq)

phi(N) < B 1 - (p + q) < - 2sqrt(pq)
p + q - 2sqrt(pq) > 1
[sqrt(p) - sqrt(q)]² > 1
sqrt(p) - sqrt(q) > 1 (because p > q)

N >= 6 (for p = 3 and q = 2)
then p - q > 6^(1/4) > 1.5
p > q + 1.5
sqrt(p) > sqrt(q + 1.5) > sqrt(q) + sqrt(1.5) > sqrt(q) + 1

thus sqrt(p) - sqrt(q) > 1 and phi(N) < B

and

A < phi(N) < B


taken from yahoo
 
hurrey, maths was easy but couldn't answer 2/3 questions.
had english now and it was easy too , it was about adverts and news articles.
tomorrow i have ict is gonna be the easiest gcse exams dont need to revise.
 
I had english today, it was about some woman having a go at kids today for wasting too many resources, then about a swede
tongue.gif
And my history was easy, but by 3:00, after 3 and 3/4 hours of exams, my hand cramped well bad
frown.gif
 
R4man18 said:
If N = pq with p and q primes
then phi(N) = (p - 1)(q - 1)

phi(N) = (p - 1)(q - 1) = pq + 1 - (p + q)

A = N + 1 - [3/sqrt(2)] sqrt(N)
A = pq + 1 - [3/sqrt(2)] sqrt(pq)

phi(N) > A p + q < [3/sqrt(2)] sqrt(pq)
2p² + 4pq + 2q² < 9pq
2p² - 5pq + 2q² < 0
(2p - q)(p - 2q) < 0

it's true because p > q thus 2p - q > 0
and p < 2q thus p - 2q < 0


B = N - 2sqrt(N) = pq - 2sqrt(pq)

phi(N) < B 1 - (p + q) < - 2sqrt(pq)
p + q - 2sqrt(pq) > 1
[sqrt(p) - sqrt(q)]² > 1
sqrt(p) - sqrt(q) > 1 (because p > q)

N >= 6 (for p = 3 and q = 2)
then p - q > 6^(1/4) > 1.5
p > q + 1.5
sqrt(p) > sqrt(q + 1.5) > sqrt(q) + sqrt(1.5) > sqrt(q) + 1

thus sqrt(p) - sqrt(q) > 1 and phi(N) < B

and

A < phi(N) < B


taken from yahoo
Cant remember having that in the exam o.o. Or was it?

Calafas, congrats. Painkillers?

I didnt find the english exam exam too hard.
And am not really worried about poetry, and section 2 of paper 2 will be piss easy, as it asks you to comment on something
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LoL, yah.

I hope they ask you the same question in part b of the poetry exam.
I did 2 mock, and in both of the mocks they asked you to write about old memory. One was about how it made you feel proud(I wrote about bubble makers, where I was 7 years old, lol)
And on the other mock it was about memory that made you feel sad.(And I wrote a bunch of em, as it was just a mock...)
 
If it asks me for any old memories or whatever, i'm gonna hafta b/s it, seeing as how i have a shit memory.
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And I hate writing about that stuff.
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But oh well, no exams tomorra
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Just hafta revise for English on Thrusday. :/
 
Man that english exam was a bitch ¬.¬.
I officlally hate poetry even more. Your lucky your english was easy
frown.gif

I think my media paper should be good though
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Calafas said:
If it asks me for any old memories or whatever, i'm gonna hafta b/s it, seeing as how i have a shit memory.
blink.gif


And I hate writing about that stuff.
tongue.gif


But oh well, no exams tomorra
biggrin.gif


Just hafta revise for English on Thrusday. :/
Just make it up man
tongue.gif

The examiners are not gonna check your bio data. lol
 
leonheart_a said:
Man that english exam was a bitch ¬.¬.
I officlally hate poetry even more. Your lucky your english was easy
frown.gif

I think my media paper should be good though
smile.gif
Dont worry, the media will be easy.
Just quick(spend 2 minutes) gap and list before answering the question:

G enre
A udience
P urpose

L anguage
I nformation
S tyle
T one
 

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