simplify the expression

Question

-6+i/-5+i

Answer 1

I'm assuming your problem is this:

(-6+i)/(-5+i)

If so, then you can multiply both the numerator and denominator by an equivalent of 1:

(-6+i)/(-5+i) * (-5 - i)/(-5 - i) = (30 - 5i + 6i - i^2)/(25 - i^2) = (30 + i + 1)/(25 + 1) = (31 + i)/26

Check the work.