Complex NumbersHard
Question
Number of roots of the equation z10 - z5 - 992 = 0 with real part negative is :
Options
A.3
B.4
C.5
D.6
Solution
z10 - z5 - 992 = 0
z5 = 32
z = 2.
r = 0, 1, 2, 3, 4
for n = 3,4 roots have negative real part.
z5 = - 31
π/5
z =
r = 1, 2, 3 ⇒ roots have negative real part
5 roots have negative real part.
z5 = 32
z = 2.
r = 0, 1, 2, 3, 4
for n = 3,4 roots have negative real part.
z5 = - 31
π/5
z =
r = 1, 2, 3 ⇒ roots have negative real part
5 roots have negative real part.
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