Question

solve ( v^2 = 49 ), where ( v ) 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
o solution\. ( v = square )

Explanation:

Step1: Take square root of both sides

To solve \( v^2 = 49 \), we take the square root of both sides. Remember that for any real number \( x \), if \( x^2 = a \) (where \( a\geq0 \)), then \( x=\pm\sqrt{a} \). So applying this to our equation, we get \( v = \pm\sqrt{49} \).

Step2: Simplify the square root

We know that \( \sqrt{49}=7 \) because \( 7\times7 = 49 \). So substituting this back, we have \( v=\pm7 \), which means \( v = 7 \) or \( v=-7 \).

Answer:

\( 7, -7 \)