Question

solve for s.
$s^2 = -1$
write your answer in simplified, rationalized form.
$s = \boxed{}$ or $s = \boxed{}$

Explanation:

Step1: Take square root of both sides

To solve \( s^2 = -1 \), we take the square root of both sides. Recall that the imaginary unit \( i \) is defined as \( i = \sqrt{-1} \). So, taking the square root of both sides gives \( s = \pm\sqrt{-1} \).

Step2: Substitute \( i \) for \( \sqrt{-1} \)

Since \( \sqrt{-1}=i \), we substitute this into the equation. So \( s = i \) or \( s = -i \).

Answer:

\( s = i \) or \( s = -i \)