To solve these polynomial equations, a handy trick is to perform a substitution. Let’s say . This transforms the equations into quadratic form, making them easier to handle!

For instance, the first equation can be rewritten as . You can use the quadratic formula or factor it to find the roots. Keep in mind that solving for will require taking the square roots of your solutions, introducing both positive and negative options.

Next, don’t forget to check under what conditions your original variable reintegrates after deriving the values from your equations. Any negative values will not yield real solutions for !