Find the quotient of these Complex Numbers.

(5-i) / (3+2i)

Let the given complex number

z = x + ix =

We have to find the standard form of complex number.

Solution:

∴ x + iy =

Rationalising numerator part of complex number, we get

x + iy =

⇒ x + iy =

Using the algebraic identity:

(a + b)(a - b) = -

⇒ x + iy =

⇒ x + iy = [ ∵ ]

⇒ x + iy =

⇒ x + iy =

⇒ x + iy =

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

26

step-by-step explanation: