solves the quadratic equation az + bz + c = 0 (a ± 0) when the coefficients a, b, and c are complex numbers. Use this to verify that the roots of the equation z² + 2z + (1 – i) = 0 are (-1+ -) i + i
solves the quadratic equation az + bz + c = 0 (a ± 0) when the coefficients a, b, and c are complex numbers. Use this to verify that the roots of the equation z² + 2z + (1 – i) = 0 are (-1+ -) i + i
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![The formula
-b + (b² – 4ac)!/2
2a
solves the quadratic equation
az? + bz + c = 0
(a ± 0)
when the coefficients a, b, and c are complex numbers.
Use this to verify that the roots of the equation z? + 2z + (1 - i) = 0 are
i
(-1+)+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc285a78f-8219-472b-99fe-acf48fd2c971%2Fee2aa769-82de-4c27-bfda-6e0690baaaae%2Fpkpqxdi_processed.png&w=3840&q=75)
Transcribed Image Text:The formula
-b + (b² – 4ac)!/2
2a
solves the quadratic equation
az? + bz + c = 0
(a ± 0)
when the coefficients a, b, and c are complex numbers.
Use this to verify that the roots of the equation z? + 2z + (1 - i) = 0 are
i
(-1+)+
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