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I need a really complex math problem. I will be giving it to 12th graders i need for the problem to be ver tricky looking but have no answer.

2007-03-04 04:16:49 · 3 answers · asked by Nina V 2 in Science & Mathematics Mathematics

3 answers

have them trisect an angle with a ruler and a collapsable compass

have them double the size of a cube with only a ruler and collapsable compass

these are both problems of antiquity which were proven not to be doable with a collapsable compass

good luck

2007-03-04 04:29:21 · answer #1 · answered by matttlocke 4 · 0 0

If they know a little about geometry, you might have them derive a formula for the circumference of an ellipse. It's is interesting because it seems like such a simple problem. The area and circumference of a circle are well known. The area of an ellipse is πab but the circumference of an ellipse cannot be expressed by ordinary functions. The evaluation results in an integral without a closed form solution.

2007-03-04 05:11:10 · answer #2 · answered by Pretzels 5 · 0 0

How about this one? It may have an answer, but
it' s still vey much open:
Let n be a positive integer (in base 10) satisfying:
1). n is a square
2). the only digits of n are 0 and 1.
Must n be a power of 10?
PS. This problem is said to have originated
in a middle school mathematics book!
Try to prove the result!

2007-03-04 04:44:19 · answer #3 · answered by steiner1745 7 · 0 0

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