Algebra question
Pulling a page from TeeEm's book, this place is dead, let's liven things up, have a go at this question:
Given that and are distinct, non-zero real numbers, we are told they satisfy
Show that and that .
Given that and are distinct, non-zero real numbers, we are told they satisfy
Unparseable latex formula:
\displaystyle[br]\begin{equation*} x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}\end{equation*}[br]
Show that and that .
Scroll to see replies
Original post by Zacken
Pulling a page from TeeEm's book, this place is dead, let's liven things up, have a go at this question:
Given that and are distinct, non-zero real numbers, we are told they satisfy
Show that and that .
Given that and are distinct, non-zero real numbers, we are told they satisfy
Unparseable latex formula:
\displaystyle[br]\begin{equation*} x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}\end{equation*}[br]
Show that and that .
stolen already ...
Original post by Zacken
No takers? What about this one:
If I place a point in a square , what is the probability that the angle is acute?
If I place a point in a square , what is the probability that the angle is acute?
I now how to do both but I exclude myself ... the second you need to give a hint
By the way this picture does not look nothing like the other picture. Which one is you?
Original post by TeeEm
I now how to do both but I exclude myself ... the second you need to give a hint
Yeah, you don't count!
By the way this picture does not look nothing like the other picture. Which one is you?
They're both me.
Original post by Zacken
Pulling a page from TeeEm's book, this place is dead, let's liven things up, have a go at this question:
Given that and are distinct, non-zero real numbers, we are told they satisfy
Show that and that .
Given that and are distinct, non-zero real numbers, we are told they satisfy
Unparseable latex formula:
\displaystyle[br]\begin{equation*} x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}\end{equation*}[br]
Show that and that .
mind if i post a question here from my HW
Original post by I.sarkar
mind if i post a question here from my HW
Why don't you post a new thread and tag me on it? I'll be glad to help.
Original post by Zacken
No takers? What about this one:
If I place a point in a square , what is the probability that the angle is acute?
If I place a point in a square , what is the probability that the angle is acute?
Was this a Maths Challenge question once upon a time? Or something similar?
Original post by tiny hobbit
Was this a Maths Challenge question once upon a time? Or something similar?
Fairly recently? I think. SMC 2008-2010, somewhere in there.
Original post by Zacken
Fairly recently? I think. SMC 2008-2010, somewhere in there.
I thought I recognised it. It's either that or I'm very smart this afternoon (which seems unlikely).
Original post by tiny hobbit
I thought I recognised it. It's either that or I'm very smart this afternoon (which seems unlikely).
It's a nice and snappy question, the kind of thing you do on a napkin with friends over lunch, my favourite kind.
Original post by Zacken
Fairly recently? I think. SMC 2008-2010, somewhere in there.
EDIT: OOPs lol ofc not - hold on gimme a sec
Spoiler
Original post by Student403
Spoiler
Not quite.
Original post by Zacken
Not quite.
Just realised yeah haha im being an idiot
Original post by Student403
Just realised yeah haha im being an idiot
I think you got the right answer but just made a silly slip at the end.
Original post by Zacken
I think you got the right answer but just made a silly slip at the end.
Original post by Zacken
Not quite.
Spoiler
Original post by Zacken
Pulling a page from TeeEm's book, this place is dead, let's liven things up, have a go at this question:
Given that and are distinct, non-zero real numbers, we are told they satisfy
Show that and that .
Given that and are distinct, non-zero real numbers, we are told they satisfy
Unparseable latex formula:
\displaystyle[br]\begin{equation*} x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}\end{equation*}[br]
Show that and that .
done, i think you take the y over to the other side and integrate with respect to theta?
Original post by Student403
Spoiler
Yep, good job.
I think it looks slightly prettier in the unsimplified form though.
Original post by Zacken
Yep, good job.
I think it looks slightly prettier in the unsimplified form though.
I think it looks slightly prettier in the unsimplified form though.
Definitely
Do you know which Q number this was in the SMC?Original post by Student403
Cheers yeah I realised :'
Spoiler
you can simplify that to 4pi/4
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