Complex NumbersHard

Question

If x2 + x + 1 = 0, then the numerical value of
+.......+ is equal to

Options

A.54
B.36
C.27
D.18

Solution


there are 9 term which have ω3p.
so sum 9 × 4 = 36
there are 18 term which not have ω3p
so sum is = 18
total sum = 18 + 36 = 54

Create a free account to view solution

View Solution Free
Topic: Complex Numbers·Practice all Complex Numbers questions

More Complex Numbers Questions

Value of ′a′ for which there exists exactly one complex number ′z′ satisfying |z - 4| = 2 and z ...equals -...If α = cos θ + i sin θ, then equals -...Let z1 and z2 be complex numbers such that z1 ≠ z2 and |z1| = |z2| If z1 has positive real part and z2 has negativ...Let z and ω are two non-zero complex numbers such that | z | = | ω | and arg z + arg ω = π, then z e...