Question

If (3+2i)+(2+bi) = 5-4i, the value of b is
a. -6
b. -2
c. 2
d. 6

Answer 1

B = -6

Answer 2

Hi! Can you simplify the left hand side?

Answer 3

For LHS, combine like terms to get:

3 + 2 + 2i + bi
= 5 + (2 + b)i

Then, set the corresponding coefficients with i's:

2 + b = -4

Therefore...

b = -4 - 2
b = -6

Answer 4

Adding the reals, we get 5.

Adding the imaginaries, we get (2 + b)i.

Answer 5

then??? what after getting that???