Question

If (a + bi) + (2 - i) = 3 + i, find the value of b.

1/2

0

2

1​

Answer 1

`(a + bi) + (2 - i) = 3 + i \\ a + bi + 2 - i = 3 + i \\ (a + 2) + (bi - i) = 3 + i \\ (a + 2) + (b - 1)i = 3 + i`

Now, by comparing the coefficients of i, we get

`b - 1 = 1 \\ b = 1 + 1 \\ \boxed{ b = 2}`

• b = 2 is the right answer.