This challenge might be interesting to some people. Try to find the three
real roots to log(x^3-x*78+90)+x. I had a hard time with it.
-----Original Message-----
From: Raymond Toy
Sent: Thursday, January 03, 2013 6:31 PM
To: maxima at math.utexas.edu
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
_______________________________________________
Maxima mailing list
Maxima at math.utexas.edu
http://www.math.utexas.edu/mailman/listinfo/maxima