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Solve This Mathematics. by ALVA001: 10:36am On Jun 15, 2017 |
[s][/s]x² - y² = 36 .........(I) xy = 40 .................(ii) solve simultaneously for x and y. cc mathsChick, hottestlegs,olojufunfun, obailala, omonnakoda, baralatie am so sorry guys, I don't know how to apologise to you. there is an error in the question. equation 2 is xy = 20. pls I am sorry. x² -y² = 36 .........(I) xy = 20 ...............(ii). thanks. cc natural waves,obailala,icosahedron,LionDeLeo[s]x² - y² = 36 .........(I) xy = 40 .................(ii) solve simultaneously for x and y. cc mathsChick, hottestlegs,olojufunfun, obailala, omonnakoda, baralatie am so sorry guys, I don't know how to apologise to you. there is an error in the question. equation 2 is xy = 20. pls I am sorry. x² -y² = 36 .........(I) xy = 20 ...............(ii). thanks. cc natural waves,obailala,icosahedron,LionDeLeo[/s]x² - y² = 36 .........(I) xy = 40 .................(ii) solve simultaneously for x and y. cc mathsChick, hottestlegs,olojufunfun, obailala, omonnakoda, baralatie am so sorry guys, I don't know how to apologise to you. there is an error in the question. equation 2 is xy = 20. pls I am sorry. x² -y² = 36 .........(I) xy = 20 ...............(ii). thanks. cc natural waves,obailala,icosahedron,LionDeLeo TTF |
Re: Solve This Mathematics. by LionDeLeo: 10:41am On Jun 15, 2017 |
Substitute for X or Y from equ 2 and convert into quadratic equation then solve as such. |
Re: Solve This Mathematics. by Icosahedron(m): 11:08am On Jun 15, 2017 |
They are no solutions as the proposed system is not consisting. |
Re: Solve This Mathematics. by Icosahedron(m): 11:49am On Jun 15, 2017 |
There are no solutions. For you asked for all x, such that. x² - y² = 36 and Xy = 40. Factoring equation (1), (x+y)(x-y) = 6² or (x+y)(x-y) = 3²2² Using the prime factorization theorem. The only possibilities are x + y = 3² x - y = 2² Or x + y = 2² x - y = 3² Solving the following systems, we obtain. (13/2, -5/2), (13/2, 5/2) as the only solutions. It is there not difficult to verify that their product does not equal 40. Hence there are no solutions to the simultaneous equation you posted. |
Re: Solve This Mathematics. by ratioxyz: 2:23pm On Jun 15, 2017 |
ALVA001:naturalwaves |
Re: Solve This Mathematics. by ALVA001: 3:31pm On Jun 15, 2017 |
Icosahedron:thanks for the trial. |
Re: Solve This Mathematics. by obailala(m): 3:35pm On Jun 15, 2017 |
ALVA001:x = 7.865 y = 5.086 Dont ask me how I solved it, I didnt document the process. |
Re: Solve This Mathematics. by naturalwaves: 5:13pm On Jun 15, 2017 |
2 Likes
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Re: Solve This Mathematics. by ALVA001: 2:48pm On Jun 17, 2017 |
naturalwaves:Thank you very much, this has helped alot. |
Re: Solve This Mathematics. by naturalwaves: 4:57pm On Jun 17, 2017 |
ALVA001:You are welcome!. I thought as much that there may be a slight error since I was not getting digits but still went ahead to solve it. I doubt if this new one will give straight digits as well because no combination from 1,2,4,5,10,20 which are all factors of 20 can satisfy the first equation. The closest to it is a combination of 5 and 4 which will make equation II = 20. You can still solve the question if you want , just follow my steps for the first question you posted but you will still get an answer with decimals from my observation. |
Re: Solve This Mathematics. by Icosahedron(m): 7:00pm On Jun 17, 2017 |
ALVA001: You took my analysis for granted, you taught I was wrong but the truth is that, I proved that no integer n, satisfy your proposed equation, you can only get decimal approximations as roots and nothing else, x and y can never be rational numbers. The more advanced student familiar with Elementary Number Theory would understand me better. |
Re: Solve This Mathematics. by ALVA001: 4:31am On Jun 18, 2017 |
Icosahedron:That was never the case. thanks for your effort. |
Re: Solve This Mathematics. by ALVA001: 4:37am On Jun 18, 2017 |
naturalwaves:Thank you so much for the insight. just as you have said, it has no straight digit. I followed the method you used earlier and I got 6.7 for x and 2.985 for y. The answers fulfil both equations. once again thank you. I will be reaching out again. |
Re: Solve This Mathematics. by Icosahedron(m): 6:20am On Jun 18, 2017 |
Re: Solve This Mathematics. by naturalwaves: 10:15am On Jun 18, 2017 |
ALVA001:Okay. You are welcome! |
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