As I understand it, your friend took the answers to the first 20 questions, all of which are numbers from 1 to 4, and wrote an expression (function)...
Start by writing out the binomial theorem itself. Then look for a part that you can turn into a 2, and a part that you can turn into -1 (probably by...
You're right, one must always use fractions, not decimal approximations, in solving a Diophantine equation. (enoimreh7, have you learned the standard...
No, it is ALWAYS true that AP+PE = AE, regardless of whether the points are collinear! I hope you know that. (I am using bold to indicate vectors.)
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The original equation was true for, for example, a=13 and b=12. The new equation is true when a=13 and b=13. This "new b" is 1 more than the "old b"....
Yes, that is the answer I got. The differences between successive digits must be increasing by 1 each time, which in fact makes it a parabola. If we...
I think you've wrongly assumed that the line where any two planes intersect is the line determined by two of the points. What about the intersection...
I was a software engineer for many years, and have been teaching at a community college since 2004. Since 1998, I was a part of Ask Doctor Math (http://mathforum.org/dr.math/ and now http://themathdoctors.org/).