Simply Complex!

Algebra Level 5

Let zz be a complex number such that z=a+biz=a+bi, a,ba,b \in \Re and ii the imaginary unit. Determine the modulus of zz, by knowing that: a3=3(1+ab2)a^{3}=3(1+ab^{2})b3=3(a2b1)b^{3}=3(a^{2}b-1)

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