Answer:
So, the two possible answers for v are v = 2√6 and v = -2√6.
Explanation:
To solve the equation 3v^2 - 72 = 0, we can use the quadratic formula.
The quadratic formula is:
v = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 3, b = 0, and c = -72. Plugging these values into the quadratic formula, we get:
v = (-(0) ± √((0)^2 - 4(3)(-72))) / (2(3))
Simplifying further:
v = (± √(0 - (-864))) / 6
v = (± √864) / 6
v = ± (√(16 * 54)) / 6
v = ± (√16 * √54) / 6
v = ± (4√54) / 6
v = ± (2√54) / 3
v = ± (2 * 3√6) / 3
v = ± (2√6)