i2=1i^2=-1

Algebra Level 3

11z10+10iz9+10iz11=0\large 11z^{10} + 10iz^9 +10iz -11=0

Given that a complex number zz satisfies the equation above, find z|z|.

Notations:

  • i=1i = \sqrt {-1} denotes the imaginary unit.
  • |\cdot| denotes the modulus or absolute value of a complex number.
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