$i^2=-1$

Algebra Level 3

$\large 11z^{10} + 10iz^9 +10iz -11=0$

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

Notations:

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