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look @ 2001 MX2 HSC 7. b) runs through the specific case of a cubic (ax3-3x+b=0) a general proof using the method used here would be way too long

it's called the irrational conjugate roots theorem (or something along those lines): if a+b√c is a root of P(x), and: - √c is irrational - [a, b] are rational - the co-efficients of P(x) are real and integral then a-b√c is also a root of P(x). google doesn't bring up many results. i can't...

\\P(x) $ is of degree $4 $ and thus has four factors$\\\therefore P(x)=k(x-\alpha )(x-\beta )(x-\gamma )(x-\delta )\\P(x) $ is monic and thus $k=1\\\sqrt{2} $ is a root of $P(x) $ and thus $-\sqrt{2} $ is also a root $\\$Constant term is $4 \\\therefore \, \prod \alpha =2\gamma \delta...

this, my left pec is slightly bigger :$

3x6 flat bench 3x6 incline bench 3x6 decline bench 3x8 flat dumbell press 3x8 incline dumbell press 3x5 dips

yer i do, i don't look at the smith machine keep in mind i had a strong lower body prior to starting gym (a lot of football and NRL)

im jumping on Rippetoes SS next week so ill see how i go with that

started around 2 months ago in regard to my squat and deadlift: i can squat 6 reps of 110kg quite easily and around 4 reps of 115kg (with some difficulty) perhaps i've inflated my squat above where it should be

soy and linseed bread is pretty awesome aswell 220 cal and 9.6g of protein per serving (2 slices). its pretty goooood

hmm i don't think i have insect arms, they're the right size relative to my body. tho i'm not sure about the sloped shoulders

i weigh 80kg

you're not allowed to powerclean/deadlift? wtf?

my current stats are: squat: 115kg deadlift: 122.5kg bench press: struggling at 60kg any idea why my bench is lagging so much? i do as much upper body work as i do lower, i don't see the reason why its so behind edit: to add to this, i'm also not oddly proportioned (i.e. massive legs and...

that sucks (losing your strength). why'd you take such a long break? also, lost much size?

4 eggs + 2 wholemeal leb breads 600ml skim protein shake plate of rockmelon 3 crumbed fish fillets with lemon 600ml skim protein shake 2 wholemeal leb bread cottage cheese sandwiches 600ml skim milo shake haven't eaten nearly enough :/

alternatively: \\P(x)=x^2-(3+i)x+k\\$If $1-2i $ is a root of $P(x) $ then $P(1-2i)=0,\\(1-2i)^2-(3+i)(1-2i)+k \\=1-4i-4-3+6i-i-2+k\\=-10+i+k\\=0\\ \fbox {$k=10-i }

you can make significant progress however, going to the gym is a life choice. if you stop after 6 months i guarantee you will greatly regress

6 hours should be alright, i mean, you went to school for six hours i have 12 hours on wednesdays (but a day off on tuesday and 10am finish on fridays)

kramer and da vinci did it

graph y1=Ln(x) and y2=x: - x>0 since Ln(x) does not exist for x≤0 - from the graph, y2>y1 for all x. hence, x>Ln(x) and thus Ln(x)/x<1 - intercepts the x axis at x=1 - for 0< x<1, Ln(x) is -tve and x is +tve. hence Ln(x) is -tve in this domain - for x>1 Ln(x) is +tve and x is +tve. hence Ln(x)...