Question

Hello, is it possible to have some help on this question?

Answer 1

We have the following expression:

`(-2+i)/(-4-5i)`

By multiplying this expression above and below by the complex conjugate of -4-5i , we have

`(-2+i)/(-4-5i)=(-2+i)/(-4-5i)*(-4+5i)/(-4+5i)`

which gives

`(-2+i)/(-4-5i)=((-2+i)(-4+5i))/(16+25)=(8-10i-4i-5)/(16+25)`

which give us

`(-2+i)/(-4-5i)=((-2+i)(-4+5i))/(16+25)=(8-10i-4i-5)/(16+25)=(3-14i)/(41)`

Therefore, the answer is:

`(-2+i)/(-4-5i)=(3)/(41)-(14)/(41)i`