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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