Fireworks while trying to solve system of equations

[dah145]

(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.