Question: Solve \(x^2 = -25\), where \(x\) is a real number. Simplify your answer as much as possible…

Solve \(x^2 = -25\), where \(x\) is a real number. Simplify your answer as much as possible.

If there is more than one solution, separate them with commas. If there is no solution, click on “No solution”.

\(x = \boxed{\phantom{0}}\)

Solution

To solve the equation \( x^2 = -25 \) where \( x \) is a real number, let’s analyze the problem: 1. Recognize that the equation is \( x^2 = -25 \). 2. Understand that for any real number \( x \), \( x^2 \) is always non-negative. 3. Since \(-25\) is negative, there are no real numbers \( x \) such that \( x^2 = -25 \). Therefore, there is no solution for \( x \) as a real number. Select “No solution”.