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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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+)+
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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