Question: Solve \( u^2 = 36 \), where \( u \) is a real number. Simplify your answer as much as…

Solve \( u^2 = 36 \), where \( u \) 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”.

Solution

To solve the equation \( u^2 = 36 \), where \( u \) is a real number, follow these steps: Start by taking the square root of both sides of the equation. \[ \sqrt{u^2} = \sqrt{36} \] This simplifies to: \[ |u| = 6 \] This means that \( u \) can be either \( 6 \) or \( -6 \). Therefore, the solutions are: \[ u = 6, -6 \]