Question

If x + iy = [(3 + 5i) / ( 7 - 6i)] , then y is equal to
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Answer 1

Answer:

Given: (x-iy) (3+5i) = (-6+24i); Find x and y;

Step#1: Convert (-6+24i) to Polar notaion (Also called Euler notation).

r=sqrt(36+24^2)=24.7386337537

(-6+24i)=24.738e^104.036243468*i

Step #2:Convert (3+5i) to Polar notaion

3+5i=re^itheta=5.8309e^i59.0362

Step #3:Divide (-6+24i)/ (3+5i) in Polar notation to get (x-iy)

(-6+24i)/ (3+5i) =24.738e^104.036243468*i / 5.8309e^i59.0362=

4.2426784465e^i(104.036243468\ -59.0362434679)=4.2426784465e^i45=

Step#4: Convert back to Cartesian notation:

=

Step-by-step explanation: