Conan Edogawa 837 Posted February 28, 2016 Report Share Posted February 28, 2016 (edited) I am going to start the DCC Mathematical Competition, 5 problems of enigmatic mathematics, mind-busting problems, and prizes! Rules ------- 1. All problems must be completed in two weeks. 2.All competitors must PM me their answers, privately. 3. Paypal or Steam are accepted payment processes. 4. There is only one attempt. --------------- Prizes 10$ to the one who solves the most problems, in steam. ================ Problems: 1.Find the sum of the two solutions of x^2+2x-4=0. 2. Find the sum of all numbers from 1^2....to 100^2. 3. n(2n+1)(2n-1) is divisible by 3 for all posiitve integers . True or false? 4. Does Sigmaln(cos(1/n)) converge? 5. Prove that (n+1)!/(n-1)!=n(n+1) Edited February 29, 2016 by Laplace Distribution Quote Link to post Share on other sites
Ty 222 Posted February 28, 2016 Report Share Posted February 28, 2016 I don't intend to be rude, but half of the questions (with answers) are on the internet currently. 1 Quote Link to post Share on other sites
Conan Edogawa 837 Posted February 28, 2016 Author Report Share Posted February 28, 2016 32 minutes ago, Ty said: I don't intend to be rude, but half of the questions (with answers) are on the internet currently. 2/5=/1/2 Quote Link to post Share on other sites
Ty 222 Posted February 29, 2016 Report Share Posted February 29, 2016 4 hours ago, Laplace Distribution said: 2/5=/1/2 You're such a fun person!!!11 Spoiler I guess that it's sufficient, considering that you changed the questions. Quote Link to post Share on other sites
Echo 746 Posted February 29, 2016 Report Share Posted February 29, 2016 42. Can I have my money now? 2 Quote Link to post Share on other sites
Conan Edogawa 837 Posted February 29, 2016 Author Report Share Posted February 29, 2016 13 minutes ago, FOX545 said: 42. Can I have my money now? Got to pm me Quote Link to post Share on other sites
Rohan 364 Posted February 29, 2016 Report Share Posted February 29, 2016 I was expecting a difficult quiz from you. I easily did 4 questions except the 4th one for I've not studied it yet. But still, there's a 50% chance I'll get that right. Quote Link to post Share on other sites
Shawnic 2,977 Posted February 29, 2016 Report Share Posted February 29, 2016 Can we write the solutions (some of them are proofs) on paper and click pics and send them to you? Quote Link to post Share on other sites
Conan Edogawa 837 Posted February 29, 2016 Author Report Share Posted February 29, 2016 15 hours ago, Rohan said: I was expecting a difficult quiz from you. I easily did 4 questions except the 4th one for I've not studied it yet. But still, there's a 50% chance I'll get that right. Well for the other people on this forum.... heh. 6 hours ago, Master Flap said: Can we write the solutions (some of them are proofs) on paper and click pics and send them to you? Yes./] Quote Link to post Share on other sites
Shawnic 2,977 Posted March 2, 2016 Report Share Posted March 2, 2016 On 2/29/2016 at 8:13 AM, FOX545 said: 42. Can I have my money now? Good. What's the question? Quote Link to post Share on other sites
Conan Edogawa 837 Posted April 25, 2016 Author Report Share Posted April 25, 2016 THE WINNER IS MASTER FLAP The next 5 questions are... 1. Let be a polynomial with real coefficients. Show that can be written as difference of two increasing polynomials. 2. The solutions of form an arithmetic progression. Compute the difference between the largest and smallest of the three solutions. 3. = ?? 4. Determine all pairs of integers with satisfy the equation5. Prove this. As a reward for harder problems, I will give 15 dollars! Quote Link to post Share on other sites
Shawnic 2,977 Posted April 25, 2016 Report Share Posted April 25, 2016 3 hours ago, Laplace Distribution said: THE WINNER IS MASTER FLAP The next 5 questions are... 1. Let be a polynomial with real coefficients. Show that can be written as difference of two increasing polynomials. 2. The solutions of form an arithmetic progression. Compute the difference between the largest and smallest of the three solutions. 3. = ?? 4. Determine all pairs of integers with satisfy the equation5. Prove this. As a reward for harder problems, I will give 15 dollars! Working on that. I still have not received the first 10 dollars. Quote Link to post Share on other sites
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