Find the value:

Question

Answer 1

Under addition/subtraction the complex and real parts of a complex number are independent

The first criterion implies that f + 1/2 = d (real part of z1 and z2)

g = e (imaginary parts of z1 and z2)

You have 2 equations and 2 unknowns for f and g (The 2nd and 3rd criteria). Use substitution to solve for f (g = f - 2) f(f-2) = 1/2 and your off and running. Just plug in values at the end. Throw out any nonreal solutions for d,e,f,g.