#### 2 variables in 2 quadratic equations in excel

```Dear ms excel user/programmers:

I hope this question is not repeated before.  But anyway

highly appreciate anyone can tell me how (or hint) to use ms excell
and/or visual c/c++, basic, or octave(emulate matlab) to solve:
(12-x)^2 + y^2 =15^2,
(16+y)^2+x^2=25^2

(by programming or using its built in function)?

that ^2 mean square.

looking to any excel user, mathmatician, and/or programmer's help,
eric, fsshl@yahoo.com

```
 0
fsshl (2)
2/6/2005 9:16:33 AM
excel.misc 78881 articles. 5 followers.

3 Replies
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```Hi Eric

The brute force way (requiring the least mathematical analysis) is to
calculate the left hand side as functions of two reasonable first guess x
and y inputs and then calculate the total error (say as a sum squares of the
differences) of these compared to the right hand sides.

Once you have that you can run the solver add-in to minimise (or set to
zero) the error cell's value by altering (subject to optional constraints)
your input x and y values.

Regards

Steve Dalton

<fsshl@centurytel.net> wrote in message
> Dear ms excel user/programmers:
>
>   I hope this question is not repeated before.  But anyway
>
> highly appreciate anyone can tell me how (or hint) to use ms excell
> and/or visual c/c++, basic, or octave(emulate matlab) to solve:
> (12-x)^2 + y^2 =15^2,
>  (16+y)^2+x^2=25^2
>
>  (by programming or using its built in function)?
>
> that ^2 mean square.
>
> looking to any excel user, mathmatician, and/or programmer's help,
> eric, fsshl@yahoo.com
>

```
 0
steve_sdk (3)
2/6/2005 10:47:15 AM
```> and/or ...octave(emulate matlab) to solve:

I don't have matlab, but I would assume there is a Solve command similar to
the following.
Are you looking for a more general form of the equation in order to solve
other equations with different variables?

equ =
{
(12-x)^2 + y^2==15^2,
(16+y)^2 + x^2==25^2
};

Solve[equ]

{x -> 0, y -> 9},
{x -> 24, y -> -9}

HTH
--
Dana DeLouis
Win XP & Office 2003

<fsshl@centurytel.net> wrote in message
> Dear ms excel user/programmers:
>
>  I hope this question is not repeated before.  But anyway
>
> highly appreciate anyone can tell me how (or hint) to use ms excell
> and/or visual c/c++, basic, or octave(emulate matlab) to solve:
> (12-x)^2 + y^2 =15^2,
> (16+y)^2+x^2=25^2
>
> (by programming or using its built in function)?
>
> that ^2 mean square.
>
> looking to any excel user, mathmatician, and/or programmer's help,
> eric, fsshl@yahoo.com
>

```
 0
delouis (422)
2/6/2005 3:55:34 PM
```Just be advised that, in general, two circles may not intersect (two
imaginary solutions), have 1 common point, or hopefully in your example, two
real solutions...

http://mathworld.wolfram.com/Circle-CircleIntersection.html

HTH
--
Dana DeLouis
Win XP & Office 2003

"Dana DeLouis" <delouis@bellsouth.net> wrote in message
news:ejnxPRGDFHA.2156@TK2MSFTNGP10.phx.gbl...
>> and/or ...octave(emulate matlab) to solve:
>
> I don't have matlab, but I would assume there is a Solve command similar
> to the following.
> Are you looking for a more general form of the equation in order to solve
> other equations with different variables?
>
> equ =
> {
> (12-x)^2 + y^2==15^2,
> (16+y)^2 + x^2==25^2
> };
>
> Solve[equ]
>
> {x -> 0, y -> 9},
> {x -> 24, y -> -9}
>
> HTH
> --
> Dana DeLouis
> Win XP & Office 2003
>
>
> <fsshl@centurytel.net> wrote in message
>> Dear ms excel user/programmers:
>>
>>  I hope this question is not repeated before.  But anyway
>>
>> highly appreciate anyone can tell me how (or hint) to use ms excell
>> and/or visual c/c++, basic, or octave(emulate matlab) to solve:
>> (12-x)^2 + y^2 =15^2,
>> (16+y)^2+x^2=25^2
>>
>> (by programming or using its built in function)?
>>
>> that ^2 mean square.
>>
>> looking to any excel user, mathmatician, and/or programmer's help,
>> eric, fsshl@yahoo.com
>>
>
>

```
 0
delouis (422)
2/6/2005 7:23:29 PM

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