Question

solve for v.
2v² = 72
write your answers as integers or as proper or improper fractions in simplest form.
v = or v =

Explanation:

Step1: Divide both sides by 2

To isolate \( v^2 \), we divide both sides of the equation \( 2v^2 = 72 \) by 2.
\[
\frac{2v^2}{2} = \frac{72}{2}
\]
Simplifying both sides, we get:
\[
v^2 = 36
\]

Step2: Take square root of both sides

To solve for \( v \), we take the square root of both sides. Remember that when we take the square root of a number, we consider both the positive and negative roots.
\[
v = \pm\sqrt{36}
\]
Since \( \sqrt{36} = 6 \), we have:
\[
v = 6 \quad \text{or} \quad v = -6
\]

Answer:

\( v = 6 \) or \( v = -6 \)