Question

2) Determine:
a) (3 - 5i) + (4 + 7i)

b) (3 - 5i) - (4 + 7i)

c) ( 1 + 3i) + ( 4 – i )

d) ( 1 + 3i) - ( 4 – i ) ​

Answer 1

2)

a)

$(3 - 5i) + (4 + 7i) \\ 3 - 5i + 4 + 7i \\ 2i = - 7 \\ i = - \frac{ 7}{2}$

b)

$(3 - 5i) - (4 + 7i) \\ 3 - 5i - 4 - 7i \\ - 12i = 1 \\ i = - \frac{1}{12}$

c)

$(1 + 3i) + (4 - i) \\ 1 + 3i + 4 - i \\ 2i = - 5 \\ i = - \frac{5}{2}$

d)

$(1 + 3i) - (4 - i) \\ 1 + 3i - 4 + i \\ 4i = 3 \\ i = \frac{3}{4}$