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A function f is defined on the complex numbers by f(z) = (a+bi)z, where a and b are positive real numbers. Each point in the image of f is equidistant from the point z and the origin. Given that |a+bi| = 8, find a and b. Enter your answer as an ordered pair: (a,b)

 

I tried this question by plugging it in but apparently, I'm not getting the correct answer.. can someone please help??

 Nov 23, 2022
 #2
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f(z) = (2 + 2i)z, so (a,b) = (2,2).

 Nov 24, 2022

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