Questions: Solve for u. 100=u^2 u= or

Transcript text: Solve for $u$. $100=u^{2}$ $u=$ $\square$ or $\square$

Solution

To solve for $ u $ in the equation $ 100 = u^2 $, we need to find the square roots of 100. This will give us both the positive and negative roots.

Step 1: Set Up the Equation

We start with the equation given in the problem: \[ 100 = u^2 \]

Step 2: Solve for $ u $

To find $ u $, we take the square root of both sides. This gives us: \[ u = \pm \sqrt{100} \]

Step 3: Calculate the Square Roots

Calculating the square roots, we find: \[ \sqrt{100} = 10 \] Thus, the solutions for $ u $ are: \[ u = 10 \quad \text{or} \quad u = -10 \]

The solutions are \$\boxed{u = 10}\$ or \$\boxed{u = -10}\$.

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