Colipse

Algebra Level 2

The number of solutions of the equations z ( 4 + 8 i ) = 10 \left| z-(4+8i) \right| =\sqrt { 10 } And z ( 3 + 5 i ) + z ( 5 + 11 i ) = 4 5 \left| z-(3+5i) \right| +\left| z-(5+11i) \right| =4\sqrt { 5 }

is X X , where i = 1 i=\sqrt { -1 }

Then the value of X X \frac { \left\lfloor \sqrt { X } \right\rfloor }{ \left\lceil \sqrt { X } \right\rceil } is _

The value of X \sqrt { X } should to taken upto first two decimal places.

Express the answer in decimals.


The answer is 0.5.

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