Question

3v^(2)-72=0, where v is your answer to the near

Answer 1

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3v^2-72=0

coefficient values: a=3; b=0; c=−72

Δ=b²−4ac 0²-4(3*-72)=864

Δ is strictly positive, the equation 3x²−72=0

admits two solutions.

(-b-√Δ)/2a =(-0-12V6)/6=-2V6

(-b+√Δ)/2a= (-0+12V6)/6 = 2V6

Explanation:

Answer 2

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)