Pregunta
Perform the indicated operations and express the result as a simplified complex number. \[ (9-i)-(5-7 i) \] +
Ask by Morgan John. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified complex number is \(4 + 6i\).
Solución
1. Start with the expression:
\[
(9-i)-(5-7i)
\]
2. Distribute the subtraction sign:
\[
9-i-5+7i
\]
3. Combine like terms (real parts and imaginary parts separately):
\[
(9-5) + (-i+7i) = 4 + 6i
\]
4. The simplified complex number is:
\[
4+6i
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución The Deep Dive
To perform the operation \((9-i)-(5-7i)\), start by distributing the negative sign: \[ (9 - i) - (5 - 7i) = 9 - i - 5 + 7i \] Now, combine the real and imaginary parts: \[ (9 - 5) + (-i + 7i) = 4 + 6i \] The result, expressed as a simplified complex number, is: \[ \boxed{4 + 6i} \]
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