#The sum of the square of the modulus of the elements in the set is

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vale burrow
icy gyroBOT
steep crystal
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The second inequality tells you that the distance from z to 5 is no more than the distance from z to 5i

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Think about what set of points satisfies this

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You should get that it's ||the set of points on the same side of the perpendicular bisector of the segment having endpoints (0,5) and (5,0) as (5,0)||

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I'll let you finish it from here

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Although the question isn't very well defined tbh

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there's infinitely many such z

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,w plot (x-1)^2 + y^2 \leq 1, (x-5)^2 + y^2 \leq x^2+(y-5)^2

hushed needleBOT
steep crystal
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sully Fine lemme go to Desmos

vale burrow
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thanks

icy gyroBOT
# vale burrow thanks

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vale burrow
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.close