Complex Numbers
Complex Numbers
Allen Star Batch
Grade 11
Question:
The number of roots of the equation $z^{15} = 1$ satisfying $|\arg z| < \pi/2$ are:
$6$
$7$
$8$
$\frac{7}{1}\sum_{i=1}^{27}i^6$
Step-by-Step Solution
Key Concept: The formula $2^n - 1$ enumerates all possible non-empty selections from $n$ distinct objects.
The number of ways is given by $2^n - 1$, which counts all non-empty subsets of $n$ objects.
Correct Answer: 2,4