Fireworks while trying to solve system of equations

07022021, 05:22 PM
Post: #1




Fireworks while trying to solve system of equations
Trying to solve this system of non linear equations makes my HP Prime display some nice fireworks:
solve([z^3=y^2*x,sqrt(x)=log(3*z^2),5*z*x=y^x],[x,y,z]) It also crashes the virtual calculator on PC. 

07032021, 12:35 AM
Post: #2




RE: Fireworks while trying to solve system of equations
Quote:solve([z^3=y^2*x,sqrt(x)=log(3*z^2),5*z*x=y^x],[x,y,z]) This crash on XCas as well. We can simplify system of equations into 1 equation. For real solutions, equating y: CAS> z := sqrt(exp(sqrt(x))/3) CAS> fsolve(sqrt(z^3/x) = (5*z*x)^(1/x), x) [0.281669416538, 11.005909666] 

07032021, 07:20 PM
Post: #3




RE: Fireworks while trying to solve system of equations
(07032021 12:35 AM)Albert Chan Wrote:Quote:solve([z^3=y^2*x,sqrt(x)=log(3*z^2),5*z*x=y^x],[x,y,z]) I was testing out some equations I found in different places, I got that particular system from here: https://www.youtube.com/watch?v=OUO1P5ZgH2s Thank you for your input. 

07032021, 08:25 PM
Post: #4




RE: Fireworks while trying to solve system of equations
(07032021 07:20 PM)dah145 Wrote: I was testing out some equations I found in different places, I got that particular system from here: https://www.youtube.com/watch?v=OUO1P5ZgH2s The video assumed log() is really log10(). log(x) vs ln(x) — The curse of scientific computing HP Prime home mode, both log and LOG meant log10. CAS mode have different meanings (log = ln, LOG = log10, same as XCAS) CAS> fsolve([z^3=y^2*x,sqrt(x)=log(3*z^2),5*z*x=y^x],[x,y,z]=[1,1,1]) [0.281669416538, 1.23071511956, 0.75280920719] CAS> fsolve([z^3=y^2*x,sqrt(x)=LOG(3*z^2),5*z*x=y^x],[x,y,z]=[1,1,1]) [0.235667688071, 2.0897828558, 1.00964210847] 

07042021, 01:51 AM
Post: #5




RE: Fireworks while trying to solve system of equations
(07032021 08:25 PM)Albert Chan Wrote:(07032021 07:20 PM)dah145 Wrote: I was testing out some equations I found in different places, I got that particular system from here: https://www.youtube.com/watch?v=OUO1P5ZgH2s Duly noted, thanks. 

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