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.
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]
(07-03-2021 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])
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]
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.
(07-03-2021 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]