Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( z = -1 + j\sqrt{5} \)
Solución
We are given
\[
z = j\sqrt{5} - 1.
\]
To express \(z\) in the standard form for a complex number, namely
\[
z = a + jb,
\]
we can rewrite the given expression as
\[
z = -1 + j\sqrt{5}.
\]
Thus, the final result is
\[
z = -1 + j\sqrt{5}.
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To find \( z \), we can start by substituting \( z \) with the given expression. The equation is \( z = j \sqrt{5} - 1 \). Now, we can express \( j \) in terms of \( z \): \[ z + 1 = j \sqrt{5} \] To isolate \( j \), we divide both sides by \( \sqrt{5} \): \[ j = \frac{z + 1}{\sqrt{5}} \] Now you have \( j \) in terms of \( z \). If you need the numerical value of \( z \) or more specific information, we can always substitute \( j \) with a known value. If you have a specific value for \( j \) in mind, let me know, and I can assist further!

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