       Re: New user with a problem, Can anyone help?

• To: mathgroup at smc.vnet.net
• Subject: [mg33203] Re: New user with a problem, Can anyone help?
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Sat, 9 Mar 2002 03:19:14 -0500 (EST)
• Organization: Universitaet Leipzig
• References: <a675at\$d07\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,

it is nice, that we should make *your* home work for you!
Can you give us the e-mail of your teacher ? I would
like to inform him about that.

Solve[{409 - 166x + 17x^2 - 218y + 92x y - 10x^2 y + 34y^2 - 16x y^2 +
2x^2 y^2 == 0, 23 - 5x - 8y + 2 == 0}, {x, y}] // FullSimplify

{{x -> 5/2 + (7*I)/10 - Sqrt[104 - (255*I)/2]/5,
y -> 25/16 - (7*I)/16 + Sqrt[104 - (255*I)/2]/8},
{x -> 5/2 + (7*I)/10 + Sqrt[104 - (255*I)/2]/5,
y -> 25/16 - (7*I)/16 - Sqrt[104 - (255*I)/2]/8},
{x -> 5/2 - (7*I)/10 - Sqrt[104 + (255*I)/2]/5,
y -> 25/16 + (7*I)/16 + Sqrt[104 + (255*I)/2]/8},
{x -> 5/2 - (7*I)/10 + Sqrt[104 + (255*I)/2]/5,
y -> 25/16 + (7*I)/16 - Sqrt[104 + (255*I)/2]/8}}

Regards
Jens

RoyJMckee wrote:
>
> Currently doing a homework exercise and stuck on a question.
>
> Question:
> Find all values of x and y for which both
> 409 - 166x + 17x^2 - 218y + 92xy - 10x^2 y + 34y^2 - 16xy^2 + 2x^2 y^2
> and
> 23 - 5x - 8y + 2
> are equal to zero.
>
> Hence find expressions a and b (involving x and y) such that these two
> expressions are equal to a^2 + b^2 and a + b, respectively.
>
> Can anyone help or give any hints as I am struggling to grasp this question?
>
> Please email me at roymckee at hotmail.com

```

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