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What is the solution set of the equation x^2 + 1 = 0?
Practice Questions
Q1
What is the solution set of the equation x^2 + 1 = 0?
{0}
{±i}
{1}
{-1}
Questions & Step-by-Step Solutions
What is the solution set of the equation x^2 + 1 = 0?
Steps
Concepts
Step 1: Start with the equation x^2 + 1 = 0.
Step 2: Move 1 to the other side of the equation by subtracting 1 from both sides. This gives us x^2 = -1.
Step 3: To solve for x, we need to take the square root of both sides. The square root of -1 is not a real number.
Step 4: Instead, we use the imaginary unit 'i', where i = √(-1). So, the square root of -1 is i.
Step 5: Therefore, we have two solutions: x = i and x = -i.
No concepts available.
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