SOLUTION: (x+iy)2=5+4i) find value of x and y

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: (x+iy)2=5+4i) find value of x and y      Log On


   

Question 881300: (x+iy)2=5+4i)
find value of x and y
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If you mean the factor 2 on the left side, then simply use distributive property and what you already know.

2x%2B2iy=5%2B4i
2x%2B2yi=5%2B4i
Compare corresponding components.
-
2x=5
highlight%28x=5%2F2%29
-
2yi=4i
2y=4
highlight%28y=2%29