Question
Question: Let ω&ω<sup>2</sup> are imaginary cube roots of unity then the equation, whose roots are aω<sup>317<...
Let ω&ω2 are imaginary cube roots of unity then the equation, whose roots are aω317& aω382 is –
A
x2 + ax + a2 = 0
B
x2 + a2x + a = 0
C
x2 – ax + a2 = 0
D
None
Answer
x2 + ax + a2 = 0
Explanation
Solution
S = aω317 + aω382 = aω2 + aω = – a
P = a2 × ω2 × ω = a2
x2 – Sx + P = 0 → x2 + ax + a2 = 0