allerySolve: z² + z + 1 = 0:
Az = ±i
Bz = ±1
Cz = (-1 ± i√3)/2 (complex cube roots of unity other than 1)
DNo solution
Answer & Solution
Correct answer: C. z = (-1 ± i√3)/2 (complex cube roots of unity other than 1)
z = (-1 ± √(1 - 4))/2 = (-1 ± √(-3))/2 = (-1 ± i√3)/2. These are ω and ω² (complex cube roots of unity).
Keep practising Unit 3B: Implicit Differentiation and Inverse Functions
Browse all Unit 3B: Implicit Differentiation and Inverse Functions questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
An event is described as having 'EVEN CHANCE'. Its probability is:If you toss a fair coin and the probability of heads is 1/2, what is the probability of NOThe probability of drawing any number from 2 to 10 from a standard deck of 52 cards is:If a bag has 6 cards numbered 1 to 6, and 3 of them are purple, the probability of drawingThe probability of an IMPOSSIBLE event is:Probability measures:Solve 3 ≤ 2x - 1 ≤ 7 (a DOUBLE inequality) for real x.Identify a QUADRATIC inequality (not a linear inequality).