Can a transcendental number such as pi, be raised to an irrational, but algebraic power resulting in an algebraic solution? Complex solutions would be acceptable. There might be a quick proof here, or there might not be. - Thanks for any help you can offer answering this! (And I promise that this isn't for a class or anything like that!)
posted by ch3cooh
on Mar 2, 2013 -
3 answers
Mathfilter: In Gelfand's exceptional
Algebra text, he is talking about the formula 1 + x + x^2 + x^3 + ... = 1/(1 - x). He uses the Achilles racing the tortoise model when first introducing the formula. He discusses the case x = 10, whence 1 + 10 + 100 + 1000 + ... = -1/9.
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posted by wittgenstein
on Jul 27, 2011 -
8 answers
Multiple students taking an exam at different times come up with the same baffling answer. Help!
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posted by King Bee
on Mar 21, 2011 -
24 answers
Warning: wait to read this question until tomorrow if you are in Learned League.
So, today one of the Learned League questions was, What is the y-intercept of the line with the following equation?: 3y-11x = 39. I couldn't get any further than y = 13 + 3 2/3 x or y = 13 +3.66666x. Actually it appears the response is 13. How does one get to the right response for this question?
posted by bearwife
on Nov 19, 2010 -
12 answers
But Sir, what is x? Teaching students algebra for the first time. They keep wanting to put values in for x, and write that down.
E.g. x + x = . Becomes 1 + 1 = 2, in their books. Whereas I want x + x = 2x.
Does anyone have any strategies, or techniques to overcome this?
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posted by 92_elements
on Nov 11, 2010 -
23 answers
Is there an easy-to-use computer program (other than TI Interactive) I can use to draw graphs of functions when I'm writing my Algebra 2 tests?
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posted by junipero
on Sep 15, 2009 -
6 answers
