Question

find x and y if (3x-2iy)(2+i)²=10(1+i)

Answer 1

Hope it will. Help u ok

Answer 2

Answer:

The value of x is $\frac{1}{5}$ and value of y is $\frac{14}{15}$ .

Step-by-step explanation:

The given equation is

$(3x-2iy)(2+i)^2=10(1+i)$

$(3x-2iy)(4+4i+i^2)=10(1+i)$

$(3x-2iy)(4+4i-1)=10+10i$

$(3x-2iy)(3+4i)=10+10i$

$9x+12xi-6iy-8yi^2=10+10i$

$9x+12xi-6iy+8y=10+10i$

$(9x+8y)+i(12x-6y)=10+10i$

On comparing both sides.

$9x+8y=10$                  .... (1)

$12x-6y=10$                 ..... (2)

On solving (1) and (2), we get

$x=\frac{1}{5}$

$y=\frac{14}{15}$

Therefore the value of x is $\frac{1}{5}$ and value of y is $\frac{14}{15}$ .