Hello,

Correct method, but I think you can shorten it a lot

Let and .

We know that .This is the key of the trick.You can check it, it's not difficult

So the reflex will be to convert to a common denominator the LHS :

Thus, the equation is now :

Substituting z and , and simplifying :

Equate the real parts together, and the imaginary parts together and you will be done