There should be three real roots.
On Jan 3, 2013 3:55 PM, "Jo?o Vieira Gomes" <vieiragomes at sapo.pt> wrote:
> Great!
>
> find_root(log(x^2)+%e^x+3=-x, x, -3, -0.01); -> -0.15748919531069
>
> find_root(log(x^2)+%e^x+3=-x, x, -7, -3); -> -6.84937490484723
>
> Thanks,
> Jo?o
>
>
> ----- Original Message ----- From: "Raymond Toy" <toy.raymond at gmail.com>
> To: <maxima at math.utexas.edu>
> Sent: Thursday, January 03, 2013 11:31 PM
> Subject: Re: [Maxima] Find roots
>
>
> "Jo?o" == Jo?o Vieira Gomes <vieiragomes at sapo.pt> writes:
>>>>>>
>>>>>
> Jo?o> How can we use Maxima to find the real roots of equation
> log(x^2)+%e^x+3=-x?
>
> Jo?o> Solve just give x=-2*log(x)-%e^x-3.
>
> If you want a numerical answer, you can use find_root:
>
> find_root(log(x^2)+%e^x+3=-x, x, 0.1, 1) -> .1196296556538211
>
> I found the limits by plotting the function log(x^2)+%e^x+3+x and
> noticing that there is a root near 0.1. Since this function is
> monotonic for x > 0, it's also the only root. I leave it as an
> exercise to find the other real root.
>
> Ray
>
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