Questions
If Z be a complex number satisfying
a
12
b
34
c
1
d
No unique value
detailed solution
Correct option is C
The given equation is z4+z3+2z2+z+1=0 ⇒z4+z3+z2+z2+z+1=0 ⇒ z2(z2+z+1)+(z2+z+1)=0 ⇒ (z2+z+1)(z2+1)=0 ⇒ (z2+z+1)=0 (or) (z2+1)=0 ∴z=i,−i,ω,ω2,for each |z|=1.Talk to our academic expert!
Similar Questions
If roots of the equation are purely imaginary then
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