Question

please help with the attached question

Answer 1

Answer:

x=1/10 , y=4/5

Step-by-step explanation:

x+iy=(2+3i/4-2i)

=>(2+3i/4-2i)×(4+2i/4+2i)

=>8+4i+12i+6i²/16-4i²

=>2+16i/20

x=2/20=1/10

y=16/20=4/5

Answer 2

2+3i / 4-2i

=> making denominator rational ,

=> ( 2+3i ) ( 4+2i ) / ( 4-2i ) ( 4+2i )

=> ( 8 + 4i + 12i + 6i² ) / ( 4² - (2i)² )

As we know that , i = √ -1

therefore,. i² = -1

=> ( 8 - 6 + 16i ) / ( 16 - 4i² )

=> ( 2 + 16i ) / ( 16 - 4(-1) )

=> 2 { 1 + 8i } / 20 => { 1 + 8i } / 10

Now , x + iy = 1/ 10 + (8/10) i

hence, x = 1/ 10

and y = 8/10