Hi

sage: solve((x - 20)/sqrt((x - 20)^2 + 100) + x/sqrt(x^2 + 25) == 0,
x, to_poly_solve=True)
[x == (20/3)]


Robert M.

On 6 dub, 15:09, Danread5 <danre...@me.com> wrote:
> Hi all,
>
> My first post...
>
> I seem to be having trouble with solving for x in the following:
>
> sage: d = sqrt(x^2 + 5^2)
> sage: D = sqrt((20-x)^2 + 10^2)
> sage: T = d + D; T
> sqrt(x^2 + 25) + sqrt((x - 20)^2 + 100)
> sage: diff(T, x)
> (x - 20)/sqrt((x - 20)^2 + 100) + x/sqrt(x^2 + 25)
> sage: solve((x - 20)/sqrt((x - 20)^2 + 100) + x/sqrt(x^2 + 25) == 0,
> x)
> [x == 20*sqrt(x^2 + 25)/(sqrt(x^2 + 25) + sqrt(x^2 - 40*x + 500))]
>
> For some reason, Sage isn't solving completely for x, or isn't
> 'seeing' the x^2...
>
> Any help gladly appreciated!
>
> Dan

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