Question

if (x+iy)(4+5i)=6-2i then find x and y

Answer 1

Answer:

x=14/41 and y=38/9

Step-by-step explanation:

(x+yi)(4+5i)=6-2i

4x+5xi+4yi+5yi^2=6-2i

4x+5xi+4yi-5y=6-2i

(4x-5y)+(5x+4y)i=6-2i

On comparing real and imaginary terms,

4x-5y=6 and 5x+4y= -2

By solving simultaneously we get,

x=14/41

y=38/9

Hope it helps you .

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