Re: Number with parameter...

"mina_world" <mina_world@xxxxxxxxxxx> writes:
"Tim Little" <tim@xxxxxxxxxxxxxxxxxxxxxxxxxx> wrote in message
news:slrng1dp3r.92b.tim@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
On 2008-04-29, mina_world <mina_world@xxxxxxxxxxx> wrote:
x^3 + y^2 = z^2.

A general rational solution, in terms of a parameter u, is:

(u^2 - x).x (u^2 + x).x
y, z = -----------, -----------
2.u 2.u
-----------------------------------------------------
Sorry. I don't know how to transfer with u. so, I need your advice.

It looks like you can pick any rational x and u, giving rational y and
z that satisfy the equation. Was that the question you had?

My question is...
How do you make y, z = ~, ~.

To make y you take u, square it, subtract x, multiply by x, and divide by 2u.
To make z you take u, square it, add x, multiply by x, and divide by 2u.

Phil
--
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.

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