Modulus represents the distance from Origin.

Algebra Level 5

What is the maximum value of z|z| if z is a complex number satisfying z+2z=2|z+\dfrac{2}{z}|=2

Details :

\bullet If z=a+i.bz=a+i.b is a complex number with a,bRa,b \in R and i=1i=\sqrt{-1}, then z=a2+b2|z|=\sqrt{a^2+b^2}

\bullet Answer after rounding off up to 3 decimal places.

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