Questions: What are the real solutions of (v^2=169) ? [ v= ]

What are the real solutions of (v^2=169) ?
[ v= ]
Transcript text: What are the real solutions of $v^{2}=169$ ? \[ v= \]
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Solution

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Solution Steps

To find the real solutions of the equation \( v^2 = 169 \), we need to take the square root of both sides. This will give us two solutions: one positive and one negative.

Step 1: Identify the Equation

We start with the equation: \[ v^2 = 169 \]

Step 2: Take the Square Root of Both Sides

To solve for \( v \), we take the square root of both sides of the equation: \[ v = \pm \sqrt{169} \]

Step 3: Calculate the Square Roots

The square root of 169 is 13. Therefore, we have two solutions: \[ v = 13 \] \[ v = -13 \]

Final Answer

The real solutions are: \[ \boxed{v = 13, -13} \]

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