Questions: 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". u=

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".
u=

Transcript text: 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". \[ u= \] $\square$

Solution

Solution Steps

To solve the equation $ u^2 = 36 $, we need to find the real numbers $ u $ such that when squared, they equal 36. This involves taking the square root of both sides of the equation. Since both positive and negative numbers squared can result in a positive number, we will have two solutions: the positive and negative square roots of 36.

Step 1: Solve the Equation

We start with the equation $ u^2 = 36 $. To find $ u $, we take the square root of both sides.

Step 2: Calculate the Square Roots

The square roots of 36 are given by: \[ u = \sqrt{36} \quad \text{and} \quad u = -\sqrt{36} \] Calculating these gives: \[ u = 6.0 \quad \text{and} \quad u = -6.0 \]

Step 3: Present the Solutions

Thus, the solutions to the equation $ u^2 = 36 $ are: \[ u = 6.0, -6.0 \]