Question

How do you find the values of m and n that make the equation `(m+1)+3ni=5-9i` true?

Answer 1

`m=4` and `n=-3`

Explanation:

Two complex numbers `a_1+ib_1` and `a_2+ib_2` are equal

is `a_1=a_2` and `b_1=b_2`

Hence as `(m+1)+3ni=5-9i`

`m+1=5` and `3n=-9`

i.e. `m=5-1=4` and `n=-3`