SOLUTION: Given that √(x + iy) = a + ib, so that x = a^2 + b^2, y = 2ab and find a and b if x = 3, y = 4

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Given that √(x + iy) = a + ib, so that x = a^2 + b^2, y = 2ab and find a and b if x = 3, y = 4      Log On


   

Question 1113677: Given that √(x + iy) = a + ib, so that x = a^2 + b^2, y = 2ab and find a and b if x = 3, y = 4
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
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Your condition is written and presented INCORRECTLY. 

    sqrt%28x+%2B+iy%29 = a + ib  implies  x = a^2 - b^2.


    It does not implies  x = a^2 + b^2.