How can I solve this system of non-linear equations?
The book I'm working from provides the answer , but I'm having a hard time getting there.
This is in order to reduce to a pair of irreducible quadratics . We expand, gather like terms, and equate the coefficients of the resulting expression with those of the original, yielding the above system of equations.
With some substitutions, I managed to get
which I reduced to
Since the remaining factor has no real zeros, it also reduces to a pair of irreducible quadratics.