Question

Find the real numbers X and Y if (x – iy) (3 + 5i) is the conjugate
I want the answer now ...plz​

Answer 1

$\textbf{Given:}$

$\text{The complex numbers x-i\,y and 3+5\i are complex conjugate of each other}$

$\textbf{To find:}$

$\text{The values of x and y}$

$\textbf{Solution:}$

$\text{We know that,}$

$\textbf{Two complex numbers \bf\,z_1 and \bf\,z_2 are said to}$

$\textbf{be complex conjugate of each other if \bf\overline{z_1}=z_2 (or) \bf\overline{z_2}=z_1 }$

$\text{Since x-i\,y and 3+5\i are complex conjugate of each other,}$

$\text{we have}$

$\overline{x-i\,y}=3+5\,i$

$x+i\,y=3+5\,i$

$\text{Equating corresponding real and imaginary}$

$\text{parts on bothsides, we get}$

$x=3\;\text{and}\;y=5$

$\textbf{Answer:}$

$\bf\,x=3$

$\bf\,y=5$

Find more:

If a-bi/a+bi=1+i/1-i then,prove a+b=0

https://brainly.in/question/14173316

Express the complex number z = 5+i/2+3i in the form a + ib

https://brainly.in/question/6695271