How do you find the values of m and n that make the equation (2m+5)+(1n)i=2+4i true?

1 Answer
Nov 23, 2016

m=72,n=3

Explanation:

For the 2 complex numbers to be equal, the coefficients of the real parts and the imaginary parts must be equal.

2m+5=2 and 1n=4

solve: 2m+5=2m=72

solve : 1n=4n=3

Check.

(2×72)+5=7+5=2

and 1(3)=4