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

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) (Show Source): You can put this solution on YOUR website!
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Your condition is written and presented INCORRECTLY.

     = a + ib  implies  x = a^2 - b^2.


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

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SOLUTION: Given that &#8730;(x + iy) = a + ib, so that x = a^2 + b^2, y = 2ab and find a and b if x = 3, y = 4