JuMP: Constrain with quadratic equation

How to solve a quadratic equation using JuMP? I was following the documentation, but the quadratic equations are not working.

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What was not working?

Did you use a solver that supports quadratic equality constraints?

There are examples in the documentation here:

I was using JuMP and HiGHS as a template to solve a quadratic equation through optimization! but it wasn’t working, changing the model to Ipopt I managed to solve the system.

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HiGHS supports quadratic objectives, but not quadratic constraints.

If all of your variables are continuous, Ipopt is a good choice. If you have discrete variables, choose a solver like Gurobi.

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