TheKingOfAllNoobs Posted October 7, 2015 Share Posted October 7, 2015 (edited) Does this permit the use of a calculator? If you wish. I'd discourage the use of a calculator, if you can use completing the square or cross-factorisation. If you'd rather use the quadratic formula or the equation function on a scientific calculator, that's fine by me too, although I'd prefer the former. Thanks! Edited October 7, 2015 by TheKingOfAllNoobs Link to comment Share on other sites More sharing options...
Renegade343 Posted October 7, 2015 Author Share Posted October 7, 2015 If you wish. I'd discourage the use of a calculator, if you can use completing the square or cross-factorisation. If you'd rather use the quadratic formula or the equation function on a scientific calculator, that's fine by me too, although I'd prefer the former. Thanks! I know the techniques, but if it permits the use of a calculator, then it would be easier. Also, are there multiple answers to this? I did some quick checks on a bus ride, and there can be two solution sets. Link to comment Share on other sites More sharing options...
nVidiaContractor Posted October 7, 2015 Share Posted October 7, 2015 In Draco Excalibur with Javelins deals around 900-1100DMG, with Mirage +450% (or +452%, i dont remember) buff it deal 1400-1900DMG. I dont playing with Mirage so i dont know about her too much, but can someone explain me this math situation? Link to comment Share on other sites More sharing options...
TheKingOfAllNoobs Posted October 7, 2015 Share Posted October 7, 2015 (edited) I know the techniques, but if it permits the use of a calculator, then it would be easier. Also, are there multiple answers to this? I did some quick checks on a bus ride, and there can be two solution sets. Answer: DON'T OPEN IF YOU HAVEN'T SOLVED IT YET The answer is: x=12. You can solve from there. I know there is another answer, but just take the one with a whole number, reject the decimals. And I need to know how you did it too. Thanks! Edited October 7, 2015 by TheKingOfAllNoobs Link to comment Share on other sites More sharing options...
Renegade343 Posted October 8, 2015 Author Share Posted October 8, 2015 Answer: DON'T OPEN IF YOU HAVEN'T SOLVED IT YET The answer is: x=12. You can solve from there. I know there is another answer, but just take the one with a whole number, reject the decimals. And I need to know how you did it too. Thanks! I saw the solution, compared it to mine, and found out that I made a very small error while squaring a number (as in: Only off by 0.2). But yes, I do know how to do it: First, write down these two equations (I wish Warframe Forums install LaTeX): (1/x) + (1/y) = 0.15 2x = y + 9 Modify the first equation to give you: (y + x)/xy = 0.15 y + x = 0.15xy Then, substitute y = 2x - 9 (from second equation) into the first equation: 2x + x - 9 = 0.15x * (2x - 9) 3x - 9 = 0.3x2 - 1.35x 0.3x2 - 4.35x + 9 = 0 We can then multiply 20 on both sides to obtain: 20 * (0.3x2 - 4.35x + 9) = 20 * 0 6x2 - 87x + 180 = 0 Hence, we have solved part A. For part B, using the same formula we obtained earlier, we divide by 3: 2x2 - 29x + 60 = 0 Then, using the quadratic formula (the one with x = (-b±√(b2 - 4ac)) ÷ 2a), we would obtain: x = 12, 2.5 Now, since you said to disregard the decimal value, I will only use x = 12: (1/12) + (1/y) = 0.15 1/y = 0.06666 (recurring) y = 15 Positive difference between those two numbers: |12 - 15| (I use the modulus here so that no matter what number I subtract from, I will get a positive value) = 3. That should be your answer. Link to comment Share on other sites More sharing options...
TheKingOfAllNoobs Posted October 8, 2015 Share Posted October 8, 2015 Yay thanks! I only solved Part B, but I didn't know how to prove the equation... I think I didn't do very well. Link to comment Share on other sites More sharing options...
Renegade343 Posted October 8, 2015 Author Share Posted October 8, 2015 (edited) Yay thanks! I only solved Part B, but I didn't know how to prove the equation... I think I didn't do very well. General rules for proofs (in which I am still practicing on them): Do not be afraid to introduce additional values when you need them, but remember to introduce values that would cancel out that additional value (e.g.: 0 can be written as 1 - 1). Look for established theorems, and use them as a building block for your proofs. Look for patterns. They tend to reveal paths to completing your proofs. Edited October 8, 2015 by Renegade343 Link to comment Share on other sites More sharing options...
TheKingOfAllNoobs Posted October 8, 2015 Share Posted October 8, 2015 Ahh thanks Renegade! Bracing myself for the exam results is tough. Grinding Draco helps to numb the pain... Link to comment Share on other sites More sharing options...
Renegade343 Posted October 8, 2015 Author Share Posted October 8, 2015 Ahh thanks Renegade! Bracing myself for the exam results is tough. Grinding Draco helps to numb the pain... No worries. After all, I'm just a hobbyist mathematician. Link to comment Share on other sites More sharing options...
Renegade343 Posted October 21, 2015 Author Share Posted October 21, 2015 Alright, I'm back with more knowledge of mathematics. Fire away with your questions while I solve some lingering ones here. Link to comment Share on other sites More sharing options...
Bipp Posted October 21, 2015 Share Posted October 21, 2015 Warframe should be thought at schools, I never saw so many kids doing good math because they deeply analyze how much a weapon or mod is improving/changing. Anyway, i dont know any math problem for u to solve, but I know a few riddles: The more I take, the more you have. If I didn't take it, you wouldn't have any. Negative numbers! Do I win Link to comment Share on other sites More sharing options...
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