If $x + i y = (5 - 3 i) (2 + 3 i)$ , then find the value of the $x$ and $y$ .

Open in App

Solution

We have,
$x + i y = (5 - 3 i) (2 + 3 i)$

$x + i y = 10 + 15 i - 6 i - 9 i^{2}$

$x + i y = 10 + 9 i - 9 (- 1)$

$x + i y = 10 + 9 i + 9$

$x + i y = 19 + 9 i$

On comparing both sides, we get

$x = 19, y = 9$

Hence, this is the answer.

Suggest Corrections

Similar questions

x

y

(x + i y) (2 - 3 i) = 4 + i

x + i y = \frac{- 1 + \sqrt{3} i}{1 + i}

x

y

(x + i y) (2 - 3 i) = 4 + i

x

y

(x + i y) (2 - 3 i) = 4 + i

z = x + i y

(z - 1) = a m p (z + 3 i)

(x - 1) : y

Join BYJU'S Learning Program