Find the first three output values of the fractal generating function: f (z) = z^2+2+i

Question

Mathematics

Silvester

29 August, 01:45

Find the first three output values of the fractal generating function: f (z) = z^2+2+i

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Answers (1)

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Timothy Bonilla · Answer 1

(a+b) ^2=a^2+2ab+b^2, and that i^2=-1.

Then, just substitute and solve, plugging in the output value back into the function each time.

(2+i) ^2+2+i

=4+4i-1+2+i=5+5i

(5+5i) ^2+2+i

=25 (1+i) ^2+2+i=25 (1+2i-1) + 2+i=51i+2

So the answer is : 2+i, 5+5i, 2+51i