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Do you know how to do polynomial division? What happens when you divide x^3 + 2x^2 + 4 by 2x^2 + 1?
Yes, but the problem in that PDF says that abc ≤ 1, whereas Agnishom's problem says that abc = 1.
However, it's true that this doesn't make any difference to the proof, apart from:
Search for the book: old_and_new_inequality.pdf
Problem 14 has solutions on p33.
The problem there is posed with slightly different constraints on a, b, c, but the solutions look similar.
You haven't proven the closure of the rational numbers under addition nor multiplication: you've only shown some examples. You'd need to show that the sum and product of two rational numbers a/b and c/d is also rational.
A long time ago -- when I used to post on here as a guest -- I remember being able to post text between [sup] and [sub] tags, so that I could convert my text to superscript or subscript text. Is there any chance of bringing those tags back? They also make some of the older posts a little hard to read, since it seems that a while ago [sup] and [sub] tags were used a fair amount.
If this isn't possible, then is there a way to type in LaTeX without it starting a new line?
That was math9maniac, not me...
Another question: A sector of a circle has a central angle of 80 degrees. If the area of the sector is 32\pi, what is the radius of the circle?
I am getting 8 sqrt2 but this is wrong...
Hi denis_gylaev, you can write the π symbol if you type:
:pi
299^3 = 26730899