How do you find the values of m and n that make the equation #8+15i=2m+3ni# true?
1 Answer
Jan 6, 2017
Please see below.
Explanation:
Complex numbers are equal exactly when the real parts are equal and the imaginary parts are equal.
So
#8 = 2m# and#15 = 3n# . And this happens only when
#m=4# and#n=5# .
Note Students sometimes wonder why mathematicians bother to state when two complex numbers are equal. After we state it, some react with "Well, obviously!".
But consider another kind of two-part number -- fractions.
When is
Since
(In case you've forgotten, the answer is