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Q1. a. Solve the following complex equation for x and y: 2 + j = ((1 - j)/(1 + j))² + 1/(x + jy)  (8)

b. Three mooring lines exert horizontal forces on a bollard, positioned at O, as follows:

35 kN at 50°, 44 kN at 190°, 29 kN at 305°

The angles are those that the forces make with the real axis Ox.

Determine, using complex numbers, the magnitude and direction of the resultant force on the bollard. (8)