Question

express 2+3i/2-3i in a+ib form​

Answer 1

Step-by-step explanation:

firstly rationalize the whole term by multiplying 2+3i in Numerator and denominator .

therefore (2+3i)^2/4+9 [since i^2 =-1 in denominator the formula will be (a-b)(a+b) = a^2-b^2]

4-9+12i/13

in a+ib form it will be -5/13+12i/13

in which a = -5/13 & b= 12/13