Questions: Solve for it, where in is a ceal number. √(w+11)=5 μ=

Transcript text: Solve for it, where in is a ceal number. \[ \sqrt{w+11}=5 \] \[ \mu= \]

Solution

Solution Steps

To solve the given equation \(\sqrt{w+11}=5\), we need to isolate \(w\). We can do this by squaring both sides of the equation to eliminate the square root, and then solving for \(w\).

Step 1: Isolate the Square Root

We start with the equation: \[ \sqrt{w + 11} = 5 \] To eliminate the square root, we square both sides: \[ w + 11 = 5^2 \]

Step 2: Simplify the Equation

Calculating \(5^2\) gives us: \[ w + 11 = 25 \]

Step 3: Solve for \(w\)

Next, we isolate \(w\) by subtracting 11 from both sides: \[ w = 25 - 11 \] This simplifies to: \[ w = 14 \]

Final Answer

The solution to the equation is: \[ \boxed{w = 14} \]

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