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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?
i
-i
1
0
Questions & Step-by-Step Solutions
Which of the following is a root of the equation z^2 + 1 = 0?
Steps
Concepts
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.
No concepts available.
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