[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

Substitute for X or Y from equ 2 and convert into quadratic equation then solve as such.

They are no solutions as the proposed system is not consisting.

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.

ALVA001:
x² - y² = 36 .........(I)

xy = 40 .................(ii)
solve simultaneously for x and y.
cc mathsChick, hottestlegs,olojufunfun, obailala, omonnakoda, baralatie

naturalwaves

Icosahedron:
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.

thanks for the trial.

ALVA001:
x² - y² = 36 .........(I)

xy = 40 .................(ii)
solve simultaneously for x and y.
cc mathsChick, hottestlegs,olojufunfun, obailala, omonnakoda, baralatie

x = 7.865
y = 5.086

Dont ask me how I solved it, I didnt document the process.

ratioxyz:
naturalwaves

x=7.8653
y=5.0856

cc: ALVA001

naturalwaves:
x=7.8653 y=5.0856
cc: ALVA001

Thank you very much, this has helped alot.

ALVA001:

Thank you very much, this has helped alot.

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.

ALVA001:

thanks for the trial.

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.

Icosahedron:


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.

That was never the case. thanks for your effort.

naturalwaves:

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.

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.

ALVA001:

That was never the case.

Do you even understand my posts at all

ALVA001:

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.

Okay. You are welcome!