Question

If z be a complex number satisfying $z^2$ + 1 = 0 Find the value of $\left|z\right|$.

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Answer 1

Given $z^2$ + 1 = 0

$z^2$ = -1

z = $\underset{–}{+}i$

$\left|z\right|$ = $\sqrt{x^2+y^2}$ = $\sqrt{0+1}$ = 1