In (a+bi) + (c+di), you add the real parts using the laws for real numbers and do the same for the imanginary parts.
(a+c)+(b+d)i
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The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
The two numbers are the complex conjugate pair, 3.5 - 7.6i and 3.5 + 7.6i where i is the imaginary root of -1
There are no real numbers that satisfy the requirements. The complex solutions are: 1 +/- sqrt(21)
The two numbers are the complex conjugate pair27.5 - 79.0174iand27.5 + 79.0174iwhere i is the imaginary square root of -1.
The question has no answer in real numbers. The solution, in complex numbers, are 2+3i and 2-3i where i is the imaginary square root of -1.