If-z-iz-2-13-and-z-1-x-1-i-Find-mun-x-

Question Number 203417 by hardmath last updated on 18/Jan/24

If

∣ \overset{―}{- z + i z} ∣ = 2 \sqrt{13} and z = 1 + (x + 1) \cdot i

Find : mun (x) = ?

Commented by hardmath last updated on 18/Jan/24

\min (x) = ?

Answered by Frix last updated on 19/Jan/24

\forall r \in C : ∣ r ∣=∣ \bar{r} ∣

r = - z + i z = - x - 2 - x i

∣ \bar{r} ∣= \sqrt{2 (x^{2} + 2 x + 2)} = 2 \sqrt{13} \Rightarrow x = - 6 \lor x = 4

Commented by hardmath last updated on 19/Jan/24

thank you dear ser