The solution for the complex function is equal to y = 3 + i.
What is a complex function?
The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.
The given complex functions are x = 2 + 8i and xy is -2+ 26i. The value of y will be calculated as below:-
xy = -2+ 26i.
y = ( -2+ 26i ) / x
y = ( -2+ 26i ) / ( 2 + 8i )
The value of the function will be calculated by rationalizing the function. When p and q are integers and q is not equal to zero, a result is a rational number, which has the form p/q. This ratio is between two integers.
The fundamental distinction between a fraction and a rational number is that fractions are always positive while rational numbers can be either positive or negative.
[tex]y =\dfrac{-2+26i}{2+8i} = \dfrac{-1+3i}{1+4i}[/tex]
[tex]y =\dfrac{-1+3i}{1+4i}\times \dfrac{1-4i}{1-4i}[/tex]
[tex]y = \dfrac{-1+4i+13i+52}{1+16}[/tex]
[tex]y = \dfrac{17i+51}{17}[/tex]
y = 3+i
Therefore, the solution for the complex function is equal to y = 3 + i.
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