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Which of the following is a root of the equation z^2 + 1 = 0?

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Question: Which of the following is a root of the equation z^2 + 1 = 0?

Options:

  1. i
  2. -i
  3. 1
  4. 0

Correct Answer: i

Solution: 

The roots are z = ±i.

Which of the following is a root of the equation z^2 + 1 = 0?

Practice Questions

Q1
Which of the following is a root of the equation z^2 + 1 = 0?
  1. i
  2. -i
  3. 1
  4. 0

Questions & Step-by-Step Solutions

Which of the following is a root of the equation z^2 + 1 = 0?
  • Step 1: Start with the equation z^2 + 1 = 0.
  • Step 2: Move 1 to the other side of the equation: z^2 = -1.
  • Step 3: To find z, take the square root of both sides: z = ±√(-1).
  • Step 4: Recognize that the square root of -1 is represented by the imaginary unit i.
  • Step 5: Therefore, the solutions are z = i and z = -i.
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