I have been thinking for a while now that it would be nice if we could showcase our best or most interesting answers somewhere.
When the forum was much, much smaller, I used to look at ever question and answer and put together a group of the best ones each day.
I only view a very small number of answers these days so I thought maybe we could band together and come up with something.
I think mostly we may have to showcase our own answers (as sometimes we are the only ones that see them) but if you would like to showcase others that would be great.
I don't just want grand showy answers, I'd also like to see good quality lower level teaching answers showcased.
If there is a problem then I will not continue. But lets see if we can do this.
I will put this in sticky threads and see what ADDRESSES (with comments) people add.
I will kick this off
I just looked at a very impressive answer by Omi67
Omi67 often gives beautifully presented answers like this one, so I would like to honour her here.
This was the question: (the question was not displayed properly that is why I have added it )
Here is Omi's answer:
Thank you for the honor.
It gives me a lot of pleasure to help the students.
I am really sorry that one one has added to this thread yet.
I know there have been many great answers in the last few days.
Anyway, here is one of my own that I was pleased with.
It does not involve calculus or any high level maths so some less advanced (in maths) people will be able to understand it.
If you have questions, just ask.
This was the question:
How many zeroes does 66! end in when written in base 12?
Here is an excellent presentation for a solution by Hectictar.
The elements of the collective problem and equation are dissembled into key points, each with a detailed explanation for its derivation. When combined, the narrative presents as a textbook-worthy, expository solution for a potentially confusing problem.
Here, a well-presented solution by Anthrax.
By adapting the logical and mathematical equivalence of the Floor Function to an inequality, Anthrax demonstrates with details how to solve for integers in a range. A praise-worthy solution presentation by a gifted and practiced mathematician –quickly recognized as such by Hectictar.
Alan presents two (2) solution methods (Lambert W function and Newton-Raphson) to solve for an unknown variable that appears both inside and outside an exponential function. Very Cool!
Thanks Ginger for showcasing these questions by Hectictar, Anthrax and Alan.
And thanks Alan, Hectictar and Anthrax for supplying these great answers in the first place
As soon as I get a moment I will be taking a proper look at each of them.
I also like this solve by Alan, he didn't write much but yet makes sense in a clear and understandable way.
I think that this was a good answer from cphill after the banter:https://web2.0calc.com/questions/how-to-solve-do-not-guess-and-check
The American Mathematics College is holding its orientation for incoming freshmen. The incoming freshman class contains fewer than 500 people. When the freshmen are told to line up in columns of 23, 22 people are in the last column. When the freshmen are told to line up in columns of 21, 14 people are in the last column. How many people are in the incoming freshman class?
Chris, Alan and I have all answered this in different ways. For me, Alan's way is simple, different and interesting.
ive found this one and thought it was really good because it also helped me a lot
also this one answered by one of the millons of geust
The first one was answered by Heureka.
Heueka answers are always very impressive. I am really pleased that you have verbalized how much this one helped you.
Thanks Heureka :))
This question will lock again soon
If anyone else want to add to this thread just send me (or another moderator) a message and we can open it for you.
What is the remainder when x^3 + x^6 + x^9 + x^27 is divided by x^2 - 1 ?
Well answered by Heureka and Tiggsy. Thanks.
A semicircle is inscribed in a quadrilateral ABCD in such a way that the midpoint of BC coincides with the center of the semicircle, and the diameter of the semicircle lies along a portion of BC. If AB = 4 and CD = 5, what is BC?
Thanks for the great answer Tiggsy
Heureka fas provided a insight into this question that I really like.
This was a good geometry question with some equally interesting answers.