If a = 2 + i, and b =  3 – 2i, what is b/a?Question 3Select one:a.4/5 -(7/5)ib.2 + (1/5)ic.10 – id.10 + ie.Impossible

To find the value of b/a, we need to divide b by a.

First, let's simplify a and b:

a = 2 + i b = 3 - 2i

Now, let's divide b by a:

b/a = (3 - 2i) / (2 + i)

To simplify this expression, we can multiply the numerator and denominator by the conjugate of the denominator:

b/a = (3 - 2i) * (2 - i) / (2 + i) * (2 - i)

Expanding the numerator and denominator:

b/a = (6 - 3i - 4i + 2i^2) / (4 - 2i + 2i - i^2)

Simplifying the numerator:

b/a = (6 - 7i + 2i^2) / (4 - i^2)

Since i^2 = -1, we can substitute it in the expression:

b/a = (6 - 7i + 2(-1)) / (4 - (-1))

Simplifying further:

b/a = (6 - 7i - 2) / (4 + 1)

b/a = (4 - 7i) / 5

Therefore, the value of b/a is 4/5 - (7/5)i.

The correct answer is option a. 4/5 - (7/5)i.