Find roots



Hi Ray,

Taking exp() of both sides makes finding the third root easy. I didn't think 
of that.

Thanks,

Rich


-----Original Message----- 
From: Raymond Toy
Sent: Friday, January 04, 2013 3:55 PM
To: maxima at math.utexas.edu
Subject: Re: [Maxima] Find roots

>>>>> "Richard" == Richard Hennessy <rich.hennessy at verizon.net> writes:

    Richard> This challenge might be interesting to some people.  Try to 
find the
    Richard> three real roots to log(x^3-x*78+90)+x.  I had a hard time with 
it.

Because of the three real zeroes of x^3-x*78+90, the log function
makes it difficult.  I transformed the equation to
(x^3-x*78+90)*exp(x)=1 and found the roots of that.  A plot of the
original function gives a rough idea of where the roots are:  near -6,
1, and 8.

Ray

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