12. Show that the equation z + iz + 1 = 0 has neither a real root nor a purely imaginary root.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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12. Show that the equation 23 + iz +1 = 0 has neither a real root nor a
purely imaginary root.
9.4 Argument Principle
347
1
-6-3 +12.
|z|
15. Show that the polynomial 23 – 22 + 4z + 5 has all its roots in the disk
I리 < 3.
16 U.
modulus between
unyeYer Small R all the zeros of the function
Transcribed Image Text:12. Show that the equation 23 + iz +1 = 0 has neither a real root nor a purely imaginary root. 9.4 Argument Principle 347 1 -6-3 +12. |z| 15. Show that the polynomial 23 – 22 + 4z + 5 has all its roots in the disk I리 < 3. 16 U. modulus between unyeYer Small R all the zeros of the function
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