Question

The complex number Z satisfies the equation Z +$\left|Z\right|$ = 2+8i, then the value of $\left|Z\right|$ - 8 is

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Answer 1

Let Z= x + iy => x + iy + $\sqrt{x^2+y^2}$ = 2 + 8i

X+ $\sqrt{x^2+y^2}$ =2, y=8 $\Rightarrow$x= -15

$\left|Z\right|$=17